I doubt it. One of the guiding principles behind tenant rights is "reasonable" behaviour. I fail to see how any interpretation of "reasonable" would allow the prohibition of the nearly universal practice of hanging things on walls.
My experience as a renter was that the landlord couldn't even claim damages for the inevitable holes that result from properly hung pictures and even small shelves (but don't push it!).
When we had a lot of pictures to hang in a small area, we hung a light board on the wall, mounted at the studs, then hung pictures on that.