It appears that in New York State driving with a suspended registration is an unclassified misdemeanor of the NYS Vehicle and Traffic (VAT) Law which means you can be arrested for it to the best of our knowledge.
VAT Section 512 is titled operation while registration or privilege is suspended or
revoked. Here it states that:
Any person who operates any motor vehicle upon a public highway while the certificate of registration of such motor vehicle or privilege of operation of such motor vehicle in this state or privilege of obtaining a certificate of registration issued by the commissioner is suspended or revoked shall be guilty of a misdemeanor, and upon conviction shall be subject to a fine of not less than fifty dollars nor more than one hundred dollars or by imprisonment for not exceeding thirty days or by both such fine and imprisonment for conviction of a first offense; by a fine of not less than one hundred dollars nor more than two hundred dollars or by imprisonment for not exceeding ninety days or by both such fine and imprisonment for a conviction of a second offense committed within a period of eighteen months; by a fine of not less than two hundred dollars nor more than five hundred dollars or by imprisonment for not exceeding one hundred eighty days or by both such fine and imprisonment for a conviction of a third or subsequent offense committed within a period of eighteen months.
If you are stopped by law enforcement it likely would be up to the officer's discretion if you were arrested or only ticketed for driving with suspended registration. If you were cited for operating a vehicle while your vehicle's registration was suspended you should contact the court to find out more about the penalties you will likely incur in court.
You can get more information about the penalties for driving with a suspended license in New York and the likelihood of being arrested if stopped by law enforcement without having a valid license contact the NYS DMV and/or a law enforcement agency directly.
Driving with a suspended license is normally considered a serious offense by the courts and by insurance companies. Depending upon your insurance policy terms and company's guidelines if you were to be in an accident without a valid driver's license than your coverages may not cover an accident you were in. So it is advisable to not drive if you do not have a valid license.