Can a licensed aesthetician inject facial fillers under the supervision of a board certified plastic surgeon in NYS?

The answer is no, in any state in the US. Boards of Cosmetology do not include dermal filler injection as within the scope of practice of an aesthetician. A medical degree is required to inject, such as MD, RN, NP, DO or DMD. It would not matter whether there was a 'supervising physician' or not, filler injection should not be delegated to non medical staff as it is inappropriate and not the standard of care.
Best,
Lisa Vuich, MD

No, aestheticians are not licensed to do injections in New York. I would see an experience aesthetic physician for injectable treatments like Botox/Dysport and fillers. 

Aestheticians are not licensed in New York to do injections such as fillers or Botox regardless of where they are working.  Only nurses and physicians in NYC are allowed to do so.  For the best cosmetic results please consult a board certified dermatologist who is an expert in cosmetic injections.  Best, Dr. Green