Not Legal Advice: No, it's generally not a crime to drive shirtless or no clothes on at all. However you must be aware of the possibility of an indecent exposure charges.
In New Jersey, indecent exposure is also known as "lewd conduct." There are three general ways a person can be guilty of lewd conduct and they don’t all carry the same charges or penalties.
To find a list of laws concerning driving safety, visit the Motor Vehicle Commission Web site which lists state driving laws as well as associated penalties and fines.
To find answers on the most frequently asked questions about driving in New Jersey, click here.
Of interest, discover weird laws still in effect in the United States, shared by Truthin7minutes.com.