According to the NYS Department of Motor Vehicles, New York State restricts driving privileges if you are under the age of 18 and have an out of state license, or if you are any age and have an out of state learner permit.

You must obey the restrictions of both your home state and the NYS restrictions for learner permits or junior licenses in New York. There is a brochure available online at the NYS DMV site titled Learner Permits and Junior Licenses you can read to find out about the restrictions.

The State of New York does not permit you to drive if you are under the age of 16. If you have a learner permit or driver’s license from another state you are not exempt from this rule.

The NYS DMV advises to check with your state’s DMV, in your case the Florida HSMV, to make sure that your permit or junior license is valid outside of that state. If it is valid only in the issuing state you cannot use it to drive in NYS.

To the best of our knowledge your FL graduated license should allow you to drive out of state as long as you abide by the restrictions Florida placed on you but would advise you to check with the HSMV to find out for certain.