A quick bit of google-fu produced the following:
There are native white-clawed crayfish in NI, mainly to the south-west. They are a protected species and cannot be captured or eaten.
There do not appear to be any Signal crayfish (the non-native species generally eaten by bushcrafters) in NI.
I haven't checked, but I doubt there are any other non-native crayfish species in NI, as they are not as widely distributed as the signal crayfish