Heck yeah, it's possible! Just about every girl in my house who had transportation had a job. When I first pledged, I was working at Wendy's, then got a job at Kroger about three weeks later. It was perfect - 15 -16 hours per week, never past midnight and the head cashier liked me, so he scheduled me around my sorority activities

. I left there to do my required internship summer between junior and senior year, then worked at JCPenney until I graduated. I was also a journalism major, which is very time-consuming. But my sisters were very understanding; work was considered a legitimate excuse to miss an activity, although you were expected to be at chapter meetings if at all possible.
ETA: Hang in there, Aeryelle! I wish we'd had GC (heck, the Internet!) when I was in college. Life is so much easier now in some ways ...