The game stops your age at one point, don't remember what age it is but I believe someone was talking about your age never changing from then on. It just keeps regenning players and staff, forever, and your save file continuously gets bigger and bigger with the more stuff that's in it. Meaning that, yes, there would be an end. Once your save game reaches such a size that your comp can no longer run it. Which would be like over 1000 years into the game, meaning no one will probably ever reach anywhere near that much.
Even then, some people's comps would still be able to run.
Does this answer your question?