Can eyebrow tatteing effect a growing fetus?

?spelling. Assuming you mean eyebrow tattooing, then there is no risk with doing that when pregnant. Make sure done by a reputable, clean, certified person.
No, but. I would suggest that with the changes that occur during pregnancy (weight gain, tissue swelling) that the result during pregnancy might look slightly different than when you are not pregnant. Why not wait until you are delivered, recovered and back to your normal physique / self.