Yes, and there are right-handed lobsters as well. Unlike humans and most other creatures, the "Maine" lobster (or more properly, the Northern or American lobster, Homarus americanus) is not symmetrical - that is, its left and right sides are not mirror images of each other. A close examination of any whole Maine lobster will reveal that its two claws are different in both size and function. The larger claw has coarse teeth for the heavy-duty crushing jobs, whereas the small claw has fine teeth for lighter ripping and tearing tasks. A lobster is left-handed or right-handed depending on which side has the larger claw.
** Asian Recipes