Short answer is no. One estimate says there are 10^120th possible chess games. I'm not doing the math now, but I believe that falls into the not-physically possible within our lifetime using known physics. An "If you had started calculating at the beginning of the universe, you wouldn't have even tackled a sliver of the work by now" type of problems.

http://www.popsci.com/science/article/2010-12/fyi-how-many-d...