It is possible. My test to see if a hen or pullet is broody is that she needs to spend two consecutive nights on the nest instead of her normal sleeping spot. Often a hen will act like she might be thinking about going broody but the two consecutive nights test hasn't failed me yet. Someday it may.
People do this all kinds of different ways. I mark my eggs so I know which ones she is supposed to have and check under her every day after the others have laid to remove any that don't belong. As long as I remove them daily they are still good to eat. Others isolate their broody hens using different methods. If you do isolate her I'd suggest you plan on keeping her locked up until after the eggs hatch, don't let her out or any other hen in. Give her food, water, and enough room to poop without messing up the nest.
I have two levels of nests, 2' and 4' off of the coop floor. I let hens hatch in any of them. I've seen a hen get her chicks out of a 10' high hay loft, she said jump and they did, then bounced up and ran to her. I'm not worried about them hurting themselves getting down. But obviously they cannot get back up. The broody takes them to bed on the coop floor.
One time I had chicks falling out of a nest. The hen was hatching in a 7-1/2" x 11-1/2" bucket. She was sitting so close to the edge that when a chick that had climbed up on her back fell off it missed the nest and fell four feet to the ground. Four different times I had to pick a chick up and put it back in the nest. Most of those were probably the same chick., not hurt at all. I retired that nest after the hatch. As long as the hen is not sitting so close to the edge that a falling chick can miss the nest I haven't had a problem.
As far as I'm concerned, the hen knows a lot more about the process instinctively than I do so I try to bother the hen as little as possible. When I check under her to collect any excess eggs I often set her on the coop floor. She usually sits there for several seconds and then either runs off to get food and water or runs back to the nest. If they are a true broody hen mine always wind up back at the nest.
If a hen is sitting on the nest laying an egg a broody might go to a different nest if that hen is in the way when she comes back from her daily constitutional. Usually that is not a problem but it can be with a weak-spirited broody hen. Even if the hen is off of the nest for a few hours that has never caused a problem with the hatch. I just move her back to the right nest when I see what is going on.
