You can tame it, but you need a fish basket

They can be only be tamed in a fish basket

Tamable if you knock them out. But it is extremely difficult to do as they have low health. You have to feed them rare flowers and it is an instant tame. Watch out for the diseased ones as you cannot knock them out.

I tamed one and named it Clingy Clive... my sister got one and named it Grabby Geraldine. I almost got another and called it Dontcallmeoneofyourterriblenames.