I can't find anything specifically prohibiting Social Fraternities and Sororities at John Jay (jjay.cuny.edu) and the have a Psychology honorary apparently...
While not the right answer at most schools, you may have better luck talking to the Student Government. While their by-laws may be more complex than those for my *National* Fraternity,
http://jstop.jjay.cuny.edu/docs/Char...ent%202008.pdf , my guess is that if you can succeed in getting a student organization approved there, that it might be the first and most focused step...
(The Student Government bylaws definitely look like they've been done by pre-law and law students).
However according to Wikipedia "John Jay College is considered a "commuter college"; all students reside at home." That gives a *very* different environment for Fraternities and Sororities.