Yep!..................they have native species and the North American species that is invading their habitat..................
https://www.waterways.org.uk/news_campaigns/campaigns/invasive_species/crayfish/signal_crayfish
Come to think of it, I have a (newer) copy of the Isaac Walton fishing book written back in the what? 1600s or so? And I do recall crawfish mentioned as bait. I’ve got to dig it out for a look!