Yes, employers can choose to not hire someone because of piercings/tattoos if it is not part of the dress-code for the company. The only exception is if they are for religious reasons, then it is illegal for the company to discriminate.

https://www.legalmatch.com/law-library/article/can-i-be-fired-for-my-tattoos-and-piercings.html#:~:text=If%20a%20tattoo%20or%20piercing,cause%20the%20employer%20undue%20hardship.