There are excersizes that you can still do in a limited space. Check some of these out:

https://www.nerdfitness.com/blog/how-to-work-out-in-small-spaces-the-no-space-workout/

https://www.muscleandfitness.com/workouts/workout-tips/6-space-saving-exercises-do-when-gym-packed/

The main point about social hobbies is just pushing yourself to go out where people are and doing things with people. I don't know what to tell you because I don't know where you live, but I'm sure there's something you can do to get out and meet people.