It's quite possible. Rabbits gestation period is about 30 days. So if it's been about that long since she was with the male, then she could be having babies any day now. She'll need a large pile of hay to build a nest with. If she doesn't have a wire bottom cage, and it's not cold where you are located, then her small room might work fine for her to build a nest in. If it is cold, or you have wire bottom floors, then you will need a nesting box for her to build her nest in. If she starts ripping out fur to build her nest with, then you most likely have babies coming pretty soon.
It is possible for females to have false pregnancies, where they will think they are pregnant, and start to build a nest and pull some fur out. But when I've had a female rabbit do that, it's just been her starting to do a little nest building, a little grass gathered and a little fur pulling, but never the full on nest building like they do when actually pregnant. You could try lightly feeling her belly and see if you can feel anything moving around in there.