Yes,
TOP HISTORIAN WROTE ONE OF THE GOSPELS
The Gospels and books were detailed and spoke of specific events and people that were there and aware of who Jesus was at that time. Dr. Luke who wrote the book of Luke is considered a great historian by those in Academia. Other answers responded with facts about Josephus and other historians.
ARCHAEOLOGICAL EVIDENCE, HIGH PRIESTS BODY FOUND
Concerning Archaeological evidence. I'll mention just one. The remains / body was found not long ago in Israel of the High Priest that was recorded as being at and presiding over the illegal night trial of Jesus. Let's see, how many people would DARE write an nonfactual statement about the high priest? I would say NOT ANYONE that wants to live to tell about it.. Yet the four gospels record his name and tell what was said at the trial. Furthermore, the members of the Sanhedrin, the top court in the nation were also eyewitnesses to Jesus existing.
PONTIUS PILATE, TOP ROMAN OFFICIAL IN THE AREA, EYEWITNESS
HE SPOKE WITH JESUS AND HAD HIM CRUCIFIED
On the Roman side, Pontius Pilate was a historical Roman figure at that time, he was the governor of the area and the top Roman official there. That's a historic fact. It is clearly recorded in the Bible that Jesus stood before Pilate and was sentenced to Crucifixion. Anyone that would have written a lie about a "fictional man" that came before the top officials and kings of that era would have been stoned to death or called a lunatic or all of the above and perhaps their entire family and friends would have been as well. Yet there are many Bible books and thousands of eyewitnesses to the events concerning Jesus. If it was factual, and it was, then the authorities wouldn't have said anything about it.
THE ROMAN SOLDIERS THAT CRUCIFIED JESUS AND WHIPPED AND BEAT HIM. AND PUT A CROWN OF THORNS ON HIS HEAD. THEY ARE ALL EYEWITNESSES.
Is it likely that someone would fabricate a lie and circulate testimony and books about soldiers that never happened? Not at all likely. Those soldiers or their friends would go out and kill or beat someone for saying false statements. Soldiers of today would likely do the same, or just a policeman or sheriff would as well.
KING HEROD, TOP JEWISH OFFICIAL MET JESUS
Jesus taught thousands of people at times and performed miracles before them. Many of those eyewitnesses were still alive when the Bible books were written and distributed. Other officials beside Pilate were also in contact with Jesus. Such as King Herod, who Jesus was before .. Pilate sent Jesus to King Herod the morning Jesus was to be crucified. How do you think Herod or another Roman official would react if a book was written about this and it wasn't true?
THE LEADING TEACHER OF ISRAEL, EYEWITNESS
There were plenty of eyewitness testimony and in fact the Empty tomb as well. The tomb of a rich man, Joseph of Aramathia.. as well as one of the top men in the entire country Nicodemus. Both Joseph of Aramathia and Nicodemus are recorded as preparing the body of Jesus and put Jesus' crucified body in the tomb for it to be sealed by the Roman guard watching it. If that wasn't true then someone in authority would also go after someone for writing lies. But the fact of the matter is, they were there and the testimony in the Bible was true.
Furthermore, Jesus referred to Nicodemus when Nicodemus met him late at night as THE Teacher of Israel. That meant that Nicodemus was probably one of the top 3 teachers in all the country. He was obviously well known and highly respected. Nicodemus was an eyewitness to the events and participated in burial of Jesus' crucified body.
CHURCHES SPRINGING UP SHORTLY AFTER JESUS ROSE FROM THE GRAVE
Furthermore, the Christian churches rapidly sprang up months and years later and there were eyewitnesses to that. People went to their deaths that became Christians. They are testimony that Jesus existed.. some of them actually met Jesus or heard Him speak. Some of them were healed by Jesus as well.
TOP LAWYER TURNS TO JESUS CHRIST, MEETS OTHER GOVERNORS AND TELLS THEM ABOUT JESUS
Paul the Apostle, turned 180 degrees from killing Christians to becoming the chief Missionary.
He left a cushy life as a top member of the highest court in Israel.. he was an expert in the law.
Paul also stood before others of Historical note, such as King Agrippa and Festus. Festus was married to one of the most beautiful women of that time and Paul also stood before her as well in defense of the gospel of Jesus Christ and in testimony of who Jesus was. The men Paul stood before are historical figures. They would have sought out false statements about themselves. They had the privilege and the political power and the ability to go after someone writing and saying lies.
THOUSANDS OF EYEWITNESSES TO JESUS' LIFE, THE DISCIPLES AS WELL AND HUNDREDS WITNESSING JESUS BEING ALIVE AFTER HE ROSE FROM THE GRAVE... JESUS WAS CRUCIFIED AND MANY PEOPLE, PERHAPS THOUSANDS, WITNESSED THAT CRUCIFIXION AS WELL.
All true, all fact.
MORE FACTS ABOUT JESUS
He's the Creator, He's the Messiah, He's the only way to Heaven.
He's YHWH, He's God the Son.
God the Son always existed with God the Father. Jesus is God the Son, YHWH.
GOD (JESUS) HAS ALWAYS EXISTED.
The Bible says that Jesus is the only BEGOTTEN Son of God.
"Begotten" is translated from the Greek word monogenes (mon-og-en-ace'), which means "single of its kind; only." God didn't Beget a son..didn't procreate, this Son is the only one and this Son is exactly like, is God but in a different form, a different personage. God refers to Himself in the Garden of Eden when God looks at Adam after God created Adam and breathed life into Adam. God said to Himself: "Behold he (Adam) is like one of Us" Go and read that in scripture.
THE MESSIAH, PROPHECIES FULFILLED IN ONE MAN; ODDS AGAINST 1-123RD POWER.
The entire Bible has references to God and the coming Messiah. Jesus is the one that fulfilled all the prophecies of the Messiah. The odds against one person fulfilling all of them is at least 1 to the 123rd power. Jesus also accepted worship. He was worshiped as God. Nobody can get that except God Himself. The Jews even picked up stones to kill Jesus on more than one occasion for accepting worship and Him stating "Before Abraham was, I Am." Jesus claimed to be God. Jesus was never laid a hand on except when He was crucified on the cross for our sins.
JESUS ROSE FROM THE GRAVE. ROMAN GUARD PROTECTED TOMB
Jesus died and rose again 3 days later. The enemies of Jesus who, put Him on the cross, obtained a Roman guard . This guard was battle hardened soldiers put around the tomb but they couldn't prevent the God Man, Jesus from rising from the grave or as they stated and feared that Jesus' Disciples would come and steal the body. When they asked Pilate for help in preventing the theft of the body, they were told by Pilate "you have a guard, go and make (the tomb) AS SECURE AS YOU KNOW HOW." Therefore, I would assume they had dozens of soldiers there to prevent any grave robbery. HISTORICAL NOTE: during the time of Passover of that time, the Romans placed a large group of soldiers under the direction of the Jews to keep the peace since a million or more people would flood into Jerusalem. When Pilate say "you have a guard" they already had one.
MIRACLES OF JESUS PERFORMED BEFORE THOUSANDS OF EYEWITNESSES
Even the enemies of Jesus admitted that he performed miracles. He brought people back from the dead, He touched and healed people of all sorts of ailments. Jesus healed at least one Blind man who was blind from birth. That man appeared before the top court in Israel and was examined by those lawyers as well and even his parents were brought in to be examined. The lawyers couldn't discount that this was a true miracle, not at all, there were too many witnesses and far to much evidence to the contrary. The scripture records crowds laying the sick and crippled people out on the roads as Jesus passed by and they were healed. Jesus commanded the elements, the storms to cease and be still, He walked on water in front of 12 men as witnesses. He multiplied a handful of fish and bread and feed at least 5,000 men and their families on more than one occasion. There were thousands of witnesses to these acts and had any of this been written down in scripture and they lied about it, then his disciples could have been executed on the testimony of 2 or 3 witnesses. This is only part of the case for Jesus being God.
HOW GOD SAVED US FROM HELL. LEGAL ISSUES GOD HIMSELF WORKED OUT
FOR US BECAUSE HE LOVES US
Jesus, who is God the Son, took on humanity, coming as a man to save us. Satan orchestrated a contract with sin with Adam in the Garden of Eden. Since that time, sin passes through man, therefore, Jesus was born of a virgin in order to save us of our sins & get us out of the contract. God worked out legal grounds, through Abraham, in order to save us & pour the sins of humanity on to Jesus on the Cross. Roughly 2000 years after Abraham was asked to kill / sacrifice his son, God sent His Son, on the same spot, to die for us. A man (Adam) put us in sin, a man (Jesus) gets us out of the contract
ROMANS 10:9-13 explains how you can be saved from Hell
I'll recommend free resources at www_ttb_org for more on this subject.