Science can't disprove religion. That would be logically impossible. You can't prove a negative.
Quite right, earh_as_one, I have myself said so many times. You cannot prove that God doesn’t exist, you cannot prove a negative (incidentally, that is why burden of proof is upon those who claim that God exists).
However many religious based theories about nature and the universe have been disproven by the evidence, not science.
Not quite. They are disproved by evidence and by the scientific method. Scientific method has laid down criteria for disproving any theory, and religious theories have been disproved by evidence and by scientific method. Without scientific method evidence alone will be meaningless. Without applying scientific method, a religion based theory is always right, since it is based upon faith, which no amount of evidence can disprove.
Is it possible creation theory is right? Sure why couldn't an omnipotent God create the earth complete with a fossil record and geological clues suggesting the earth was billions of years old. If he did that, I'd say he has one hell of a sense of humor.
Certainty it is possible. And why limit yourself to billion of years ago, I would say that we cannot disprove that earth was created 5000 years ago in six days (or 1000 years ago in one day, or ten minutes ago in one second etc.)
As somebody once said (offhand I cannot remember who it was), one can formulate any theory about the origin of universe, if no proof is needed no support it. I could say that the whole universe was created just an instant ago, complete with all the fossil records, all the evidence of old age of the universe, including the hole in my sock.
So we certainly cannot rule out that universe was created 5000 years ago in six days. However, that is not what science tells us