It is very unlikely to become paralyzed from piercing your nose. Piercing your nose involves making a small hole in the skin and cartilage of your nose, which typically does not affect your nerves or muscles in a way that could cause paralysis.

However, there are some risks associated with nose piercing, such as infection, bleeding, scarring, and allergic reactions to the jewelry. In rare cases, a nerve could be damaged during the piercing procedure, which could potentially lead to temporary numbness or tingling in the area, but it is still unlikely to cause paralysis.

To reduce the risks associated with nose piercing, it is important to choose a reputable and experienced piercer, follow proper aftercare instructions, and avoid touching or twisting the piercing excessively. If you experience any unusual symptoms or complications after getting a nose piercing, seek medical attention immediately.

The National Library of Medicine has a PDF available, with pictures, detailing complications of nose piercing.