Yes you can, in fact that’s typically what a piercer will do, especially with cartilage piercings. They pierce with a gauge size bigger than the actual jewelry.
Just so, is it dangerous to pierce your own nose?
By piercing your nose yourself, you are opening the area to several additional risks from unsterilized equipment and improper procedures. This could increase your risk for developing infections, along with other complications, and it could also lead to a more painful experience.