The quick answer is 'sort-of' no. A true Mk 2 stock has no cutout in the stock for the "cut off" boss. However, all of the reworks (Mk 1/2 and Mk 1/3) do have that cutout, so their stocks would fit. Early Mk 2's may have also had that boss.
I also do not know if the reinforcing screw will fit. Without it, the back end of the Mk 1/2, 1/3 and Mk 2 stock will be poorly supported and may cause trouble.
Mk 1 wood should be readily available.
Peter in CA