Can my 16 years old son leave the house and go to another state for sachool and we live in New York thank u

If it's a boarding school, yes. If it's not a boarding school, it depends on the law of the other state. The person who will be your son's guardian (I assume you're not considering sending your 16- year old out of state to a non-boarding school without a guardian on the other end) would have to find out the procedure for getting appointed as guardian. They need to also check the applicable laws regarding any residency requirements for school attendance.