Prove one does not exist, Absolutely not! If a thinking agent creator exists in the natural world, then science can be used to asses the possibility that it was the cause.

If you're asking can science be used to investigate the supernatural then I would answer by saying no, and a way to understand why science can't do that is better understood by asking another question. Can you place a physical square peg into a square slot that doesn't exist in the physical reality and take away any scientific data from that? If there is such a thing as the supernatural, the moment you interact with it or identify it, you have changed it into something natural.

Another way to think of supernatural, it's a safe place to put things that are hoped for because science can't investigate them.

Science is not for proving things. It does make the existence of god look pretty unlikely, though.

IF there were a god, AND that god had measurable effect for which no other hypothesis could possibly account, the method could get very close to "proving" god, although it's poor usage because "science" doesn't prove things, observation does, we just use the method to verify and sustain observations and to support hypotheses about the causes of things we observe.

Science can also disprove theistic claims, but to disprove "god" the theists would have to stop changing their definition every single time a new discovery proves one of their claims patently false.

so, it depends on which "god" you are talking about, and the claims made about it. if your "god" is "it's completely unobservable and has no actual measurable effect on anything in the real world", then your god is useless to science, it is no longer a thing which science has any interest in at all. regardless of it's existence or non-existence.

science is a study, not a thing. there is no point in trying to prove the nonexistence of a god; first you'd have to pick which god, and you'd end up having to disprove the existence of the tooth fairy too.

g

No.

either way the answer is no. Science deals with the physical universe not the ethereal