Nobody can tell you what your lease says except your lease. What to look for in it, what to ask for in writing, and the four things that cost deposits.
A tension frame borrows your ceiling and floor instead of your wall. That is a better load path and it introduces two new questions worth asking first.
Six ways to grow vertically without a hole in the wall, and the one thing every one of them has in common: the weight still has to go somewhere.