Yes.

I posted about this a few years ago.

Last time I crabbed, it was in recreational kayaks, but touring kayaks
have more rigging and are better for waves, so they should do even
better. I was in Tillamook Bay on the Oregon Coast.

Here, people are looking for Dungeness or maybe red rock crab.

There are several traps for crabs: rings, pots, and cages. Rings aren't
really appropriate; you won't be able to guarantee pulling them up fast
enough. Crab pots captivate the crabs but are a bit heavy and bulky.
Crab cages are available in collapsable 18x24 shapes, which fit with
bungee cord on deck rigging. You can drop them down and come back to
check them in an hour.

I thought the process of pulling traps up would tend to flip me, but it
didn't, although I tipped when I tried a crab pot which was too big. I
would go to the nearby beach to actually sort them out since I didn't
want to do this in an open cockpit.

There are also angling hooks used to catch crab on a fishing line, and
nets for catching crabs in shallow water. Either of these would work
fine with a kayak.

If you are not in a protected bay, this all gets harder, but you could
raft kayaks together for more stability.

Nathan