Those qualified as Masters etc would be noted as they had board of trade certificates - enquire at Manx museum - I doubt if there would be any list of unqualified fisherman except in crew lists (again enquire at Manx Museum as many such Manx lists were moved there)
Many Manx fishermen were also in the Naval reserve (gave them additional money) - there may well be lists available but not sure if local lists (again as for so many of your enquiries try the archivist at the Manx museum)