No, rabbit meat is considered haram (forbidden) in Shia Islam. This prohibition is based on various hadiths (traditions of the Prophet Muhammad) and scholarly interpretations. Some sources cite reasons such as the rabbit being considered a "transmuted animal" or its meat being associated with the food of non-Muslims. There is no consensus on a single definitive reason, but the prohibition remains consistent across numerous Shia sources.
Several Shia websites and forums discuss this issue, reinforcing the haram status of rabbit. For example, ShiaChat.com (https://www.shiachat.com/forum/topic/20360-rabbits-are-haram-because/) and Reddit discussions within the r/shia subreddit (https://www.reddit.com/r/shia/comments/1bu57pg/is_eating_rabbit_meat_halal_shia_perspective/, https://www.reddit.com/r/shia/comments/14vlc26/one_good_example_of_why_rabbits_are_haram_for_us/) provide accounts of this view. A broader list of haram animals provided in a reference also includes the rabbit. It is haraam to eat the meat of rabbit, elephant, bear, monkey, jerboa, mouse, snake, hedgehog, and crawling animals and insects.
While Sunni Islam generally considers rabbit meat halal, the Shia perspective differs significantly. This difference highlights the nuances within Islamic jurisprudence. The consensus among Shia scholars is clear: rabbit is haram.