I just want to clarify when the F1 comes into effect. If your friend applies for an F1, it is the day the F1 is approved -- not the day of the application. My prior statement was under the assumption that your friend applies for and gets approval on the same day.
As for the semester start date, most cases are where the semester starts just around trhe corner. There are cases where the school gives an I20 to the student a few months before, e.g., school issues I20 now for Spring 2004 admission.
BTW I am not a lawyer and you should consult one before taking any further action. Good luck!