marketgarden, it is very possible that no such list exists.
If there are nominal rolls, they would most likely be shapshots of all the men in the unit at the time the roll was compiled.
What you may have to do is consult with Library and Archives Canada to see if the unit's Part II Orders exist for the wartime period. The Part II Orders will list all men taken on or struck off strength (TOS/SOS). Compiling all of these notations would permit you to compile a nominal roll.
Having done this for The RCR in the First World War, I can advise that it is neither an inexpensive nor an easy project to tackle. But if no-one has previously compiled it, you may have to tackle the task from the start.