I did when I was pregnant with my second child but I wouldn't recommend because it is considered at your own risk. I even had my hair done involving bleaching etc I don't know why I even did that but thankfully everything is normal and I gave birth to a healthy baby boy!
Better check with your gynae, as the ink is going under your skin and not the surface. The chemicals are unknown. I would suggest not to, for the same reasoning as not to dye the roots of our hair when pregnant.. be safe
Mabel