No, rabbits don't play dead.
Some people train their rabbits to perform tricks like hopping over jumps or dropping balls into baskets, so it's theoretically possible that you could train your rabbit to play dead, but that would be unusual. Playing dead is not a natural behaviour in rabbits: when faced with predations, rabbits generally know their only chance is to run for it.
One person wrote: Yes they can. My dog got in my rabbits play pen and she was all over it. When I yelled at her she looked up and I saw my rabbit and thought it was dead! But when I picked it up she was breathing and alive and as alert as ever.
Another wrote, in response: What you're describing is not playing dead, it's going into shock. Luckily, your rabbit pulled through, but stress and shock can lead to illness in rabbits: always try to minimize it in your rabbit's life.
Rabbits don't play dead; their response to predators is to run away. If a rabbit is lying down motionless, something is wrong. It could be in shock.
The gang where dead rabbits live.
Dead Rabbits Riot happened in 1857.
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Rabbits are fun to play with because they are adorable, especially when they scamper about the room.
"The "dead bunny" position can be quite frightening. Some rabbits, when sleeping, become so relaxed that they look dead. Before you get to scared, check to see whether or not your rabbit is breathing. Most likely, he/she will be. " Rabbits often relax themselves to a state they look like they are asleep, but sometimes, they also "play dead", usually but flattening their whole bodies and lying as still as possible, usually to avoid predators.
Rabbits are not carnivores. No, they don't eat chicken. They will, however, eat dead kits in a 'protect the herd' mentality. Dead kits attract predators.
They don't...
Rabbits like to play all sorts of games. Rabbits are individuals: some like some games, others like others. See the links below for ideas.
When rabbits aren't digging, they eat, play, sleep and mate.
Older rabbits play less than younger rabbits but they still do like to play. See the related question below for more info about rabbits playing. Rabbits also like to sit poo and poo and poo and sleep and sleep and sleep and eat.
I would bury them in the garden and give them a funeral.