No, except in very special circumstances that you can justify academically. Basically, once you are a Rutgers student you must take only Rutgers courses. If you think there are compelling reasons why you should take a course at another institution (either during the summer or the academic year), you must complete an “Application for Permission for Transient Work” that can be downloaded from the Student Affairs website.
That form requires the approval of several offices on campus. Be certain to obtain such approvals in advance, otherwise you risk taking a course that will not be transferable.← May I take a course at another college or university?