I thought it was safe but this came straight from a tattoo artist no its not safe to get a tattoo while your pregnant! but not because tattoos parlors are dirty the main reason is that because it takes white blood cells to heal a tattoo. so it takes away more from your already stressed out immune system, making you more prone to infections (staph, ink poisoning, etc) and sickness. plus youre more sensitive to the pigments in ink, making you more susceptible to an allergic reaction.
No, you can't get any tattoos. The risk of infection is higher etc.