No they are not, well it depends at boarding school then it would be maybe 4 to a room. At university(College) you get your own room. But his is more like a holding hostel, which you will only be in for a short while, until Christmas when the Arcana holders and the house sorting begins. After that on New years day, House's will be finalised and the 7 Arcana Majors begin the final round of the tournament. Then you guys will get either single or double rooms inside your respective House lands.