Can you insure your car with learner's permit in New Jersey?

No, the person who owns and/or will drive the insured vehicle must have a valid driver's license. Not totally true, it really depends on the insurance company. Some might insure the driver with just a learner's permit. If we can assume that the person with a learners permit is under 18, then the answer is no. However if the person has a learners permit but is somehow over 18, that is a different story.