The Frostbite engine was designed to remove elements from the world, but never add them back in. Seems like a lot of work to allow for it, but it would definitely be worth it, imo. It could lead to the development of a battle recorder, as well as allowing cover to be constructed by players, or allowing destroyed cover to be repaired.
This is the only source I was able to find:
We investigated the repair tool repairing damaged buildings etc. but it is not possible at this time, the amount of work was quite large. Maybe for the future, who knows.
I don’t think we’d go so far as restoring entire skyscrapers or anything but I can see some cool scenarios where this might work. For example, I wanted to let cops construct “road blocks”, but we decided against prototyping it due to the work and risk.