I am not even sure this is the case, but it did happen to Lena Headey in 300 and in this interview (9:30) Ethan Hawke and Keira Knightley agree that it is something that happens all the time, namely that actors are required to play their last scene on a movie script on their first day of filming.
Leaving aside particular cases where this is justified for a more efficient filming schedule, is there a reason for this?