According to the New York new driver's brochure, a motorist with a learner's permit, junior permit or junior license may drive outside of New York State if it is allowable by the laws of the other state(s).

If you drive out of New York, you must obey that state's learner or junior permit and license restrictions that may apply. The NYS DMV suggests that you check with the police or motor vehicle authorities of the states which you plan on visiting in your automobile. There does not appear to be a master list of states in which a NY permit is allowable for driving.

If you plan on driving to other states with your NYS learner's permit, you can contact the contact those specific state's Department of Motor Vehicles to find out if it is acceptable for your to drive in their state and if so what restrictions they have on your ability to drive there.