In some states these providers can do many things, including cosmetic injections. The bigger question is whether you want someone that understands the anatomy of your vessels, nerves , muscles, etc. to be injecting you or someone who saw one and will do one. Also, who will care for you in case of problem or bad result. think about that before choosing.
In Texas the nurse has to be supervised by a physician and he has to be immediately available. In most states rules are similar. You should go to a surgeon board certified by the American Board of Plastic Surgery. Any nurse involved in these practices should be safe.