Legally it's allowed but you will find yourself in unneccesary
situations. Most ppl you see there might still hold a
conservative mindset.
Imagine your tattoo cover half you face or you have a
full sleeved tattoo on your arms or leg, you might find yourself
judged as a negative person before you even interact with
them.
But of course your prof wont deliberately fail you because
of that haha but you find yoirself sometimes having to explain
or prove yourself more to others.
I have a tattoo myself in a prominent area and I just graduated
from University from an Engineering faculty. Well you start
asking yourself this question again when you graduate and that
I believe should be your main concern because most employers
still have the 60s to 80s mindset :)
If possible dun have it, but if alr done, just have to
live with it. Remind yourself the very reasons why u had it
done.