Even if the time comes (...and the comet misses earth...) when chess is "solved" by this future silicon monster, it really would not be relevant to professional play, since no human would be able to memorise all the best moves in all the possible lines anyway (currently even the strongest masters forget their home prep every now and then...), plus no one really wants to see computers play each other.
...on the issue of if it is possible...anything is...we just need to discover the correct system.
To prove a non-trivial move is forced though... in the solving chess sense, you would have to calculate more than what's physically possible. Even with tremendous computing power, you're not going to be able to store the previous positions in your analysis as the tree branches further and further because as already said there simply isn't enough space even if one bit of information took up a space as small as an atom.
Sure computers are strong now, but the different between perfect play and strong play is larger than the difference between my play and Rybka 4's play.
For example any engine today would lose 100 out of 100 games against a 32 piece EGTB... at least in my opinion :)