Simple answer: NOT if it is supposed to be 'all original & matching like it left the factory'. If the rifle is a genuine CanadianNo4 T then it would have originally borne a REL (Canadian) made scope. With that serial it should be a 1944 rifle. Does it bear standard body pads or are the mounts different to the usual in any way?
As ever, a few photo's make a world of difference to the amount of help people on here can give you.
ATB