Nope ... and I'd bet it can't be done.

The actual piece that fits in there now is really just a filler. It is too short to rotate and function as originally intended. When they shortened the Govt model length frames to make the CM short grip frame, they lost a section out of the grip safety and the corresponding area of the frame. This allowed the use of a full length main spring housing.

Most of the competitive shorty frames used a different method. They kept the grip safety, used a shortened main spring, and trimmed the grip at the bottom.
A shortened main spring was supposedly a bit fussier to tune for reliability, but I've had several of each type of shorty, and it is not really all that critical.

Just for fun, I once "shrank" a SS Randall Le May frame, which was originally chopped at the bottom and fitted with a shortened main spring housing. I also removed a chunk of the frame at the grip safety, just like a CM. This gave me a functional .45 pistol that was too small to hold on to, but made an excellent conversation piece.

PS: As to the grip safety ... the designer of the CM supposedly carried his CM pistols with NO safeties at all. Even sights were considered "optional" for the type of shooting these little gems were designed for.