God is usually defined as a transcendental being that exists outside of the laws of nature. But since science is limited by and to the laws of nature then science could not detect or test for them.
Just because we can’t scientifically prove that gods do or don’t exist does not necessarily mean they do or don’t exist. Because, by definition, they could exist outside of the laws of nature and therefore outside of the reach of science to detect and “prove” them.
Yes it’s possible that God or a god or gods exist. But it’s not probable.
Religious believers (theists) are motivated by the possibility that a god or gods exists. Atheists are motivated by the probability that a god or gods do not exist.