If you are a registered student at UC Santa Cruz, but are taking classes at SBCC, you probably are allowed to join a fraternity.
Since SBCC is a two year school, most (but not all) NIC fraternities do not allow chapters on those campuses.
Some fraternities allow members from other schools, if that other school does not have a chapter. But if your campus has a chapter of that national, you cannot join a chapter at another campus.
UC Santa Cruz does have a local fraternity - they can do whatever they want.
http://www.greekchat.com/gcforums/sh...ad.php?t=40366
What a fraternity can do is often different than what they will do.