You could get a lot of the same benefits, but you would need to be creative with the exercises.
There's a LOT of material online, on youtube.
Coaches and trainers showing tons of excercises for "home workout".
You could try the handstand challenge (without a wall or kicking off), to push yourself up slowly. You need to strengthen your core muscles and other stuff.
I'm trying this for myself currently. Nice way to get my body in shape without a gym.
You could aswel invest in dip bars or parallettes. Or a pull-up bar, which I installed at home.
You train with your own weight, you don't need extra weights.