It depends on where you decide to work, how much you get paid, and how many hours per week you work.
If your parents pick up the tab on everything else, I would say it could definitely be possible. Most part-timers make at least that much if not more per year.
Personally, I was able to make it possible to pay my rent, my dues (which averaged out to about $900/year-round) and everything else with the exception of tuition on my part time salary.. but I had to work 25-35 hours a week in order to do it. I've also had friends who work as servers in restaurants that work maybe 20 hours a week and make the same, if not more, than what I pulled in, so like I said, it really depends on where you work, what you get paid, and how much you work.
If you do join a sorority and get a job to help fund your dues, don't forget to find time to study.. because after all, that's what we're in college for
