Well, there are some ways, but back muscles were basically made to pull, and to do “pull exercises” with your own body, you need sth to hang from. You can try australian pull ups with a broom between two chairs (if you have some bacis strength, that will be not a challenge for you, but there are some harder progressions ;), other solution could be doing pull ups on doors. Good floor exercise for posterior chain if full back bridge, but they do not attack your lats enough. Lats also work as stabilizators during push ups, handstand push ups, etc. – but training muscles is not the same thing as training moves.