AFAIK rabbit meat is not viewed very well across the pond either, like in the US. Correct me if I'm wrong.
It's not very common but I'm not shocked if I hear someone say they ate it, as I would be hearing someone ate horse.
Rabbit will occasionally be sold at normal grocers but generally in short supply. I remember it being more common when I was a kid and I associate it with older people.
Same with lamb, which is also increasingly rare stateside. I remember my mom's delicacy was lamb chops.
Goat is usually readily available where Caribbean or Indian populations are high. My local grocer usually has goat.