Maybe not.....
That looks very much like a Colt New Service revolver in his hands, which was a WW1 British issue, but in .455 Webley calibre.....whereas the US and Canadian post WW1 issue Colt New Service revolvers were usually in .45ACP calibre, and I would think .45ACP ammo supply (same as the Thompson) was more readily available than old .455 Webley, so I suspect that Colt may not have been a WW1 era British issue and was thus acquired by 'other' means....???