I never said that science never will, (rather presumptuous for you to assume you know my thoughts), but science doesn't deal in "proofs." If asked whether we will find evidence establishing, with reasonable confidence, this fact, I'd say it is theoretically impossible, but I am willing to listen to examples of how it might be possible. (It is theoretically impossible, in my view, because you could not discount every possible explanation of a positive indication [i.e., what you've attributed to God may be attributable to a natural, yet unknown cause] and a negative indication, obviously, means nothing. [because God may just not want to be found.])
I'm sure at one point in history people didn't believe man would ever walk on the moon. I remain open to all kinds of possibilities from science.
Walking on the moon was an engineering problem. The equivalent would be wondering whether people would ever walk along the Rainbow Bridge into Asgard, or the like.
As for God, do you believe in any of them?
I don't think there is any way to establish an answer to that question either way. So I think it might be possible that a god or gods exist, but I have no way to assess any confidence in any such possibility.