SPOILERS for Cast Away
In the end, of course, he does indeed escape and deliver the package. The recipient thanks him and Tom Hanks goes off to to whatever happens next in his life in the world of the film.
With dark amusement, I imagined an alternative ending: the recipient of the package, excited by its arrival, opens it up...and it's a satellite phone. Tom Hanks goes "D'OH!" End of film.
Yeah, I'm sure someone's thought of this already.