Can a girl move out at 16 in New York?

No. Generally, a person must be 18 years of age to legally move out of their parent's home in New York. In most states, the age of majority is 18, which means that individuals under this age are considered minors. They don't have full legal rights and responsibilities, and their parents or legal guardians have decision-making authority over them.
Copyright Wanderlust World © https://www.ynyoo.com