You can buy some free weights at home, and do things even without equipment beyond some dumbbells and a barbell plus plates which don't take up loads of space.

You can buy some free weights at home, and do things even without equipment beyond some dumbbells and a barbell plus plates which don't take up loads of space. Floor press is a reasonable substitute for bench, you can squat without a rack by only squatting with a weight you are comfortable lifting over your head especially if you have a family member who can spot you, or failing that do something like kettlebell squats. You can get a skipping rope for cardio you can do in your yard/on your balcony. Sure you're probably going to have a hard time getting as ripped as an action star in a modern movie or a full on bodybuilder, but you can absolutely manage to be in pretty decent shape. I work out at home, and that is my set up and I am genuinely in better shape than most of my friends