Can I join a sorority??

[shellsherm]

I go to an all women's college (College A) and the school will not allow sororities on campus because the school is already so diverse that they don't want any more division between the girls on campus. I have always wanted to join a sorority and from my understanding I have to be a student at a college/university to join a sorority. My school allows cross-registration and I did it my freshman year and I was officially a College B student, I just wasn't a full-time student. If I took one class a semester until I graduate at College B, do you think that I could join a sorority at College B? Or is there a way that I could get in contact with the President of the Collegiate Panhellenic Council at College B and ask if I could join a sorority while being a student from College A? Don't know if this means anything but my college is only 6 minutes away from College B so I could go to all recruitment things and fully participate in rush activities.

Please don't suggest transferring because that is out of the question. Any advice is greatly appreciated. Thanks!