As long as:
1) You really have your shit together, no second-guessing the moment you're supposed to cut the song, the bassist actually knows which of those little shiny metal things he should press down on and you don't have to write the lyrics while taking a crap just before starting to track the vocals (this might sound stupid, but believe me, this has all happened, more than once)
2) You show up on time exactly when you're supposed to, and you know where the bassist is and he isn't drunk somewhere completely elsewhere (this might sound stupid, but...)
3) You keep it simple and don't decide to try out some whack experimental percussion stuff or decide you don't like the guitar takes after all when you have half an hour left (this might... oh, wait...)
...you should be fine. You can even squeeze in a super fast mix if you absolutely have to, but anyone in their right mind should be willing to pay a bit extra for a proper mixing session the next day.