Only if it’s a renewal and that’s for nyc and the surrounding counties like Westchester. Most counties are a recertification process and they do not need the new training.
What is the difference between renewal and recertification of my pistol or revolver license?
A pistol or revolver license issued by New York City or Westchester, Nassau, and Suffolk counties expires and needs to be renewed every 3 years.
A pistol or revolver license issued outside of those areas does not expire, but the license holder must recertify with the New York State Police every 3 years for a concealed carry license and every 5 years for other types of licenses.
I went to an info session for my county (not one of the ones that Saltwater60 mentioned) and they said you don't have to take the course when you renew.