You can't prove a negative in this sense. In general, we know things are possible... but we never know if things are impossible.
And, don't call me surely.
Perhaps there could be general AI... I'm not saying it can't be done. I would point out, though, that IF it is to be done, it certainly won't be by copying a brain. Nobody even knows the hell the brain works...
There is no proof, or we would not be having this discussion over and over again.
What would you consider to be an example of that? And how does that square with the Problem of Induction which is the hole in our entire system of empirical knowledge generation?
Yes to apply that to the real world, we have to use some assumptions like, the universe isnt a giant trick, the sun will rise tomorrow, we dont live in the matrix, etc. However given the context of this discussion those are fairly reasonable assumptions.
If I change the underlying axioms and rules, I could certainly prove that 2+2=5, just as I can prove that The sum of a triangles interior angles exceed 180 degrees, or that two identical number squared can equal -1. (Redefining what a straight line means for the former, and inventing an imaginary number system for the latter.)
Proving what can and cannot follow given a set of rules, however, is not what philosophers mean when they speak or impossibility in the real world.
Sure you can't prove that silicon devices behave like turing machines, or even that they really exist, but for the sake of this discussion, what does that matter?