The answer is probably not. You can generally raise an animal from a baby to not fear humans. But domesticated animals, including rabbits, have been specially bred to reduce the factors that make wild animals dangerous.
Domestication is when humans take a plant or animal species and, through selective breeding, transform the species into something beneficial for humans.
A single wild animal can be tamed if it is captured at a young age and raised with a lot of careful human nurturing. But this is strictly an acquired trait, and a single taming does not suddenly make the entire species domesticated.
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Tamed just means that it does not fear a few specific humans not that its natural instincts and needs have been suppressed. You can may even be able to teach it some tricks, but it will still have the natural needs and instinctual fears. One of those is that humans should be feared.
Rabbits are very scent oriented. Their sight is highly attuned to movement and basic shapes rather than visual recognition. A new persons scent is found the rabbit will not have been trained to trust that scent and will likely be very afraid.
Rabbits have 100 million scent cells, making for a very keen sense of smell, which they use to identify other rabbits and animals. The nasal membrane is very sensitive to perfumes, chemicals and dust, and these agents can cause upper respiratory problems for the rabbit.
The rabbit's sense of smell is far more developed than that of the human. Moveable folds inside the rabbit's nose assist in the detection of scent. The sense of smell in a rabbit is present at birth, allowing a newborn to find his mother's teat. Rabbits shift their noses up and down when trying to identify a scent; this is called "nose blinking.
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