Is it possible to smooth over these drywall imperfections?
Is it possible to fix it?  yes, but there is an awful lot of work to be done in order to do so.  Each of those gaps has to be filled with mud and covered with tape.  Given the shrinkage that occurs as mud dries, most of them are going to require several layers to fill properly.  In particular, filling in around the ceiling fixture is likely to be problematic as gravity will be pulling the mud down, keeping it where it needs to be without building up a large bulge will take some time.

I would not necessarily make someone rework the drywall over these images, but I definitely would not sign off on the work until I was satisfied that everything had been properly finished.  Make sure you are happy with the way things look before and after it is painted. Often putting paint on makes the imperfections stand out more.