Sort of.
Go there. See for yourself.
It won't necessarily prove exactly when it happened, if you're going to be really skeptical about it, but it should prove that it happened... at least to the extent that you can trust what your own senses tell you, and what you will find there will be completely consistent with what should be there. At an absolute worst case, it would prove that somebody spent a whole lot of money to fabricate a replica set of the"fake moon landing" on the real moon just to convince future people who land there that it actually happened... of course,even that still means that somebody has already been on the moon.
Oh, and of course, any stories you might tell upon your return would be categorized by skeptics as either you being paid off to say what you saw. And the really die hard skeptics who go up themselves would probably just believe that they were being brainwashed if they saw it for themselves.
There is a difference, you see, between proving that something happened and having somebody believe that it happened.