No, drivers in New York State are not required to carry collision insurance.
However, New York State law does mandate that all drivers carry liability insurance, which includes:
Collision insurance, which covers damage to your own vehicle in an accident regardless of fault, is optional. It is generally required only if you are financing or leasing your vehicle, as lenders or leasing companies often mandate it. If you own your vehicle outright, you can choose whether to purchase collision coverage.