No, the health and wellbeing of you and your child always comes first. When you are pregnant your skin can be highly sensitive and due to the increased stress that your body is under, the chances of you passing out are greatly increased, your body could go into shock causing premature labour. With breastfeeding some of the ink can penetrate the blood stream Even though the above risks are minimal, for sure its worth waiting until after pregnancy/breastfeeding before starting or completing your tattoo.