[adpiucf]

It is possible, but you are going to have a lot of scheduling conflicts and less time for yourself and school.

Sororities are very welcoming of athletes, leaders, etc-- it adds prestige when they can include your accomplishments within the membership. And they'll be understanding your schedule.

But you may feel like you're missing out or not part of the sisterhood as much because you have other priorities that interfere. As long as you go in with that expectation, and make the effort to be friendly and engage other people when you can come to sorority functions (rather than hold a grudge "no one is friendly or seems like they want to know me"), you'll be fine.

I think athletes have a competitive time at recruitment, b/c of that prestige angle. Sororities want to recruit the best of the best that the campus has to offer. Varsity cheerleaders, tennis players, dancers, band members, theatre majors who are performing around campus, pageant title holders, student gov't officers, etc., are highly sought after.