Yup - I paid my way through my first start-up tutoring. Again, it probably depends where you are, but on the east coast at least, some middle and high schools cost more than most college tuitions. The kids there often have several tutors to supplement their education and are willing to pay top dollar if they think you are smart; coincidentally, this is mostly determined by how much money you ask for and where you went to college.
Anyway, it can be very rewarding and fun work. Once you get that first student, it becomes exponentially easier to find the next by asking for referrals.