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.

We contacted the Florida Department of Highway Safety and Motor Vehicles (HSMV) and the representative stated that you can indeed drive in FL with an out of state learner's permit. You must have a fully licensed supervising adult over the age of 21 in the passenger seat though at all times and follow the restrictions on your NYS learners permit.