I don't have any tattoos, but I don't think tattoos are a form of self harm. They are a work of art and they typically have a meaning behind them. Self harm creates "battle scars"; tattoos create messages.

But honestly, I wouldn't get a tattoo for the purpose of inflicting pain on myself or for the purpose of mutilating my body. I think people get tattoos partly because of the art, but mostly because of the meaning/symbolism. But also, I wouldn't pay someone to hurt me. I would rather hurt myself, since that's free. (Can I say that? Is that triggering??)

I think you can get pleasure in getting a tattoo. Like, let's say your best friend died and you wanted to get a tattoo of him. Getting the tattoo will give you pleasure because you're "doing it for him".