Nope. 03:14:07, Tuesday, January 19, 2038 UTC. Of course, by then, hopefully, we'll all be running 64-bit Unix systems that store the number of seconds past 1/1/1970 in a 64-bit integer that will require nothing more than a recompile of affected software.

Of course, then we'll have to do it all over again by 15:30:08, Sunday, December 4, 292277026596. I guess there's no perfect solution.