It depends upon your definition of "god", first of all...there are many different interpretations of what a supreme being would be depending on what religion you're taling about.
In Judeo-Christianity, it would seem that "bad" things certainly do come from "god", because in that religion, things like earthquakes, death and suffering are seen as "bad" things.
Yet, if we were to choose Hinduism---we would find that all of the various gods, whether they are at first percieved as "bad", like one that would bring an earthquake, or "good", like one that would calm the earthquake afterward, are really all just different manifestations of one larger god, Vishnu, to which there is no "bad" or "good", there is just the way that things ARE, and we understand things as "bad" or "good" just because of the way that we feel they affect us---when we are only one small part of a greater design that we don't understand.
We could do this for every religion, and we would find that it eventually comes down to our perceptions of "bad" and "good". Why is an earthquake "bad". I'm not saying that it isn't, mind you---I'm just asking, why do we SEE it as "bad"? Is it because it brings death and suffering and uncertainty? Probably. Yet, haven't death and suffering and uncertainty always been with us? Aren't they a part and parcel of life? Can we seperate them in our lives from joy, and birth and safety? And I'm not asking if you'd LIKE to seperate them, I'm asking if you CAN.
So---it gets pretty complex. Different versions of "god" provide different answers for people about the above questions. Some people don't believe in a "god" at all, yet they still have to deal with the same questions as far as what "bad" and "good" mean. Can you really judge "bad" and "good" objectively? We want to call the earthquake bad because it kills people---but have you every seen a nice pretty picture of a mountain range, like the Colorado Rockies? Any earthquake you have ever heard tell of in your lifetime isn't half of the violence and chaos that ensued when those babies pushed up from the ground. Of course, what do we mean by "chaos"? We like the mountain when it's covered with pretty flowers and we can picnic on it, but we fear it when it spews magma and dust into the air and wipes out a bunch of people. Unfortunately, we can't seperate the two. The reality is that without the magma and the earthquakes and whatever else, we don't ever get a pretty mountain to picnic on. When we say "chaos", we just mean something that doesn't fit the "order" that we assume things have that is really just our interpretation of "order". When our "order" is shown to be mistaken, then we get afraid and start to call things "bad". They aren't, really. Can you blame a rock for being a rock?
The point is, if we're going to say that there is a force which guides the universe that we don't understand, and we call it a "god", it would seem that we would have a harder time judging "good" and "bad" of that being then we would judging the rock. Our universe is what it is. Nobody ever made any promises to any of us that it was supposed to be a certain way, and it's only when we insist that it should be that we get in trouble. Both people that believe in "god" and people that don't end up doing that sometimes. It's all what it is, and if we accept, it, I guess it's all good, whether it hurts sometimes or we lose things we love sometimes or not. If we don't accept it for what it is, then I guess we end up calling the parts we don't like or refuse to accept "bad".
I hope that this answers your question.