Yes, assuming God created and guides Evolution.
Once again the small groups of Atheists and Creationists are trying to make us believe that we have to choose between God and humanity's ongoing discovery of God's Creation through Science. This is not true.
Truth cannot contradict Truth. -- Pope Leo XIII
Most Jews and Christians do not take the stories of creation in the Bible literally. We believe the stories included in first 11 chapters of Genesis tell religious truth but not necessarily historical fact.
One of the religious truths is that God created everything and declared all was good.
Catholics can believe in the theories of the big bang or evolution or both or neither.
On August 12, 1950 Pope Pius XII said in his encyclical Humani generis:
The Teaching Authority of the Church does not forbid that, in conformity with the present state of human sciences and sacred theology, research and discussions, on the part of men experienced in both fields, take place with regard to the doctrine of evolution, in as far as it inquires into the origin of the human body as coming from pre-existent and living matter - for the Catholic faith obliges us to hold that souls are immediately created by God.
Here is the complete encyclical: http://www.vatican.va/holy_father/pius_xii/encyclicals/documents/hf_p-xii_enc_12081950_humani-generis_en.html
And here is the Address of Pope John Paul II to the Pontifical Academy of Sciences on October 22, 1996 speaking of the Theory of Evolution: http://www.newadvent.org/library/docs_jp02tc.htm
Here is an interesting article about Pope John Paul II's opinion in the matter: http://www.americamagazine.org/content/article.cfm?article_id=4627
The Church supports science in the discovery of God's creation. At this time, the big bang and evolution are the most logical scientific explanations.
As long as we believe that God started the whole thing, both the Bible and responsible modern science can live in harmony.
Here is a nice list of Christian thinkers in science: http://en.wikipedia.org/wiki/List_of_Christian_thinkers_in_science
The Clergy Letter Project an open letter endorsing the Theory of Evolution signed by over 12,000 clergy from many different Christian denominations: http://www.butler.edu/clergyproject/rel_evol_sun.htm
I suggest you read "New Proofs for the Existence of God: Contributions of Contemporary Physics and Philosophy" by Robert J. Spitzer http://www.amazon.com/New-Proofs-Existence-God-Contributions/dp/0802863833
http://www.magisreasonfaith.org/
With love in Christ.