Yes, hair removal can damage the tattoo. Laser hair removal in particular can damage the ink on the tattoo and lead to undesirable results. Here are the things to consider:

1. Laser Hair Removal and Tattoo
Laser hair removal works by targeting the melanin pigment in the hair follicles. Since tattoo ink also contains pigment, laser light can damage the tattoo.
Laser application on or very close to the tattoo can cause color fading, burns, crusting or scarring.
Therefore, laser hair removal is not applied to tattooed areas.

2. IPL and Electrolysis Hair Removal
IPL (Intense Pulsed Light): Since it targets the pigment like laser, it can damage the tattoo.
Electrolysis Hair Removal: It is a method performed by applying electricity directly to the hair root. It can be safer if applied carefully to the tattooed area.
3. What Should Be Done to Have Hair Removal on a Tattoo?
The area where the tattoo is should be covered with a laser hair removal device and shots should not be applied to this area.
The hair around the tattoo can be cleaned, but the inside of the tattoo should be removed with a razor or scissors.