Can you play Skyrim ps4 if you're under 18? Will it work, have restrictions or anything like that?

The first thing you should do when trying to assess the suitability of a game for minors is look at the rating on the box, or if you haven't already bought it, seek out those rating on-line.

Of course, in my opinion, I think it's fine as long as you aren't 11 or below. I'd say ages 12-18+ are alright but, this is my personal opinion.

Since you are below 18, you might also want to ask your guardian/parent(s).