Is it permissible for a student whose university is 200 km away and who attends classes two days a week, staying overnight in student housing for one night, to combine and shorten prayers?

If your journey is permissible, and you do not have a wife with whom you have consummated the marriage residing in the aforementioned dwelling, and you do not intend to stay for four days, then you may avail yourself of the concessions for travel, such as shortening the four-unit prayers and combining the prayers that share a common time.