But is there a possibility that one of them is correct or right?
No matter how minuscule the odds, one is the genuine enchilada?
And how do we determine if that is the only one?
Depends what you mean by "possible".
It seems to me that there is the "theoretically possible" and the "practically possible".
In theory,
anything is possible except the self-contradictory. Like a married bachelor.
And the reason why
anything is theoretically possible, is because we don't know everything.
In that sense, I guess any religion is
theoretically possible. In fact, ANY unfalsifiable yet internally consistent idea is theoretically possible.
Then there is the
practically possible. That is about what is and isn't possible according to our understanding of nature / reality. It is for example
practically impossible to violate / suspend / ignore the laws of physics.
Since the supernatural supposedly does exactly that, we can say that the supernatural (and by extension religions involving the supernatural) is
practically impossible.
But while all that is interesting... what is even more interesting that asking if it's possible, is asking if it's
plausible.
And all religions are
extremely implausible. Since all of them require unjustified, extra-ordinary and outlandish assumptions.
So there you have it: all flavours of christianity are extremely implausible as well as practically impossible.
I'll add that the same goes for all theistic (both mono and poly) religions.