Several of my chapter sisters balanced sorority life while on ROTC scholarships. It was tough, though...especially when mandatory events/meetings fell on the same days as ROTC commitments.
It has and can be done, but as AOII Angel said, your scholarship is your #1 priority.
Check with the applicable ROTC detachment as well. My daughter chose not to go greek when she went to UTexas, but her ROTC information was very very clear that one would NOT be excused from ROTC commitments for sorority commitments. Not saying you can't do it, but advising you to check not only with the sororities but with the ROTC detachment as well. You might want to find out how many women in the detachment are currently in sororities.
__________________ When seconds count, the police are only minutes away.
Laws alone can not secure freedom of expression; in order that every man present his views without penalty there must be spirit of tolerance in the entire population.-Einstein