Tisch Productions Open to All Students?

In high school, I’ve really enjoyed the creative outlet presented to me by my high school’s drama department. I enjoy it as a hobby, but not really enough to seek a career in it. I’d love to be able to participate in similar programs in college. How difficult is it for non-theatre majors to participate in these kinds of programs at NYU? Are there special productions or choral groups open to all students? Can students not in Tisch participate in the productions it puts on?