The natural sciences (physics, biology, chemistry, etc) can neither prove nor disprove the existence of God, because God is not natural (he is supernatural, ie, beyond natural).
Philosophy can be used to demonstrate that God exists. KD8TZC mentioned the “five classic proofs” of St. Thomas Aquinas, which are philosophical proofs.
Some people suppose that, if you can explain something scientifically (ie, how something works) then you “disprove” God. The Big Bang is one such idea - if we can explain Creation scientifically (and we cannot) then we “prove” that God didn’t cause it. Of course, it proves nothing of the kind - it would only tell us HOW God accomplished Creation (if we ever figure it out, which we have not done).