...Do you mean a Polish citizen or a dual-nationality citizen? I am still not clear when one is a Polish citizen and when a dual-nationality one.
As far as I understand it, the general regulations insist that when in Poland, you are solely Polish and other citizenship isn't recognised. Given that Poles must have one when resident in Poland, there's no choice in theory.
But would they even allow someone to use university accomodation as a registered address?
Mind you, having one is useful if you can get it without too much fuss - having a recognised travel document valid throughout the EEA is priceless in terms of having it in credit card sized form.
Get one if you can, they're not expensive and are a much more preferable option to carrying around a passport!