You said "COLLEGE," right? Due dates don't matter in college. Bitch-slap your professor and tell him you were busy getting wasted and if he or she has a problem with that you'll tape a sharpie to your scrotum so it draws on their face while they're licking your balls. 

....No but seriously, if you walk up and say 'It was my brother's last night in town and I did what I could, do you want it now or can I go finish it?' 9 out of 10 college people give you an extension (and probably some extra credit for showing a backbone).