Can you get a tattoo while on your period?

yes you can, there's definitely no problem, the only thing you might wanna consider is that it might be more painful than it should be.

this is due to high sensitivity of senses during the menstrual cycle so a tatto that might've been slightly painful under normal circumstances may be extremely painful when you are on your period.

so if you can, wait a few days after your period. or if you can take pain, go for it.