No, its an Enfield Mk2 * ( I think is the desigmation) - its the model that was issued after about 1942 without the hammer spur to prevent nasty accidents inside spitfires and tanks.
If the records are there, it would depend on when the pistol was issued. If it was issued 1939-1940, it may have gone to 1 or 2 NZEF which originally served in Greece and Crete. In those days, they would have kept pretty good records. If it was later war issue it was a bit looser. I will let you know the next time I am near the records, and see what digging I can do....