Yes. A.R.S. §32-506(13) exempts from licensure only people who perform eyelash enhancements, not eyelash extensions.
The U.S. Department of Education makes that determination. Pursuant to the Board's new statute, A.R.S. 32-565, which is effective July 24, 2014, a cosmetology (or aesthetics or nail technology) school must be recognized as a postsecondary educational institution. If both of the following apply:
1. The school admits as regular students only individuals who have earned a recognized high school diploma or the equivalent of a recognized high school diploma or who are beyond the age of compulsory education as provided by section 15-802.
2. The school is licensed by name by the board under this chapter to offer one or more training program beyond the secondary school level.