If we define God as an omnipotent being which has control over human affairs, surely I agree with netean that this isn't possible. (and is easily seen as a human creation as well, for obvious reasons)
However, if we define God as the existence of intelligence greater and beyond that of humanity, or of some power/ influence that (for lack of better words) is the basis of all events, time, logic, etc. and as such isn't subjected to our universal laws.. well then you still have the possibility of something god-like, though it would be a God disconnected from the affairs of humans. That's how I would think of God.. why should one of greater intelligence have an interest in human life? Human life is for, well... humans.