LPN and injections

Hi all, I am new to the board and have a question that may be dumb but I am not a nurse so I don't know. Are LPN's allowed to administer botox injections if they work with a doctor. I am a licensed esthetician and a certified medical esthetician and would like to go on to nursing so that I can give injections, I just need to know if the LPN or RN route is the way to go. I live in Washington state so I don't know if laws vary state to state. Thanks in advance for the answer, I love these boards they are so helpful.

Kris