can it possibly wait until your baby arrives? most reputible TaT shops use sterile equiptment and inks ,but there is always the risk of infection and in the case of Tats the infection can go systemic(throughout your system) SO love your baby ,dont smoke drink or self induldge and risk infection ,instead wait for the baby to be born and have thier name tat in the certain spot. Mother's love rules!
You can, but, be sure(extra sure) of the sanatization methods of the artist.any infection ( especially hepatitis C will be passed pn to both you and your baby and it is deadly!!! It would best be Not done during pregancy.