Yes they do, as their wild cousins would, when not in a cage this is.
Rabbits can have babies and food in there holes it is also a place to go if a fox comes along looking for rabbits and is used also for sleeping it is there home.
Some rabbits are called bucks (males), does (females), kits (babies), and warrens (groups living together in underground burrows).
Rabbits dig their own burrows . . . that explains why they had burrows before there were any humans.
Yes, wild rabbits usually give birth in shallow burrows called forms. These forms are often located underground or hidden in vegetation to provide protection and warmth for the babies, called kits.
Wild rabbits live in burrows.
Rabbits make their burrows by digging with their hind legs.
They dig it.
underground burrows
Yes, domestic rabbits can breed with wild rabbits.
They build burrows to be safe from enemies and to keep the heat out
White domestic rabbits are typically kept as pets by people in various countries around the world. They are commonly found in homes, pet stores, and animal shelters. However, their wild counterparts, such as the European rabbit, inhabit regions in Europe, Africa, and parts of Asia.
Rabbits give birth in underground burrows called warrens. These burrows provide safety and protection for the newborn kits and their mother from predators. Rabbits are solitary animals and prefer to give birth away from other rabbits to keep their offspring safe.