Hey again AmyQ! (i just answered your other post)
It is DEFINITELY possible to be a nursing student in a sorority! My good friend goes to YCP where there are TONS of nursing majors. in fact, a good majority of her sorority sisters (Phi Sigma Sigma) are in the nursing program!
Sorority life takes a lot of time, but anyone can make the time if they want to. They will most likely be very understanding if you have time conflicts, but make sure you know what is expected of you BEFORE you sign that bid card! That way you won't be in for any surprises.
Good luck!