Yes. New York law requires that you have auto liability insurance coverage.
What happens if I forget to maintain my insurance?
Unfortunately you will be without registration and without a driver's license because the DMV will suspend both.
I'm curious if you know if I can get out-of-state insurance while keeping my car registered in New York?
No
I need more information
your valid insurance coverage will lapse. We will suspend your registration and may suspend your driver license
What other measures will they take?
We will take actions against your New York State registration and driver license even if you move out of New York. This can affect your ability to have a driver license in your new state .
Is out-of-state insurance acceptable for a vehicle registered in New York?