Probably not.

There are two considerations: sensor size (ie. the target) and the flange focal distance.

Flange focal distance is the distance the lens needs to be from the sensor for images to be in focus. Imagine using a pair of binoculars. If you hold them away from your face and look thru them, everything is blurry, no matter how you focus. But put them up to your eyes and suddenly everything is in focus. For the binoculars, the flange focal distance is the distance from the lens to your eyes (kinda).

The EOS-M has an 18mm flange focal distance, and the C/CS mount lenses have a 17.5 Flange focal distance. This means that you would need to mount the EOS-M 0.5mm further from the lens than where the C/CS mount provides. So basically, a 0.5mm adapter. Perhaps this is trivial and will make no difference in actual image quality, but for sure the EOS-M lens is far far bigger than the camera module opening itself.

Another consideration is the sensor size. An EOS-M is designed to illuminate a sensor that is 23 x 14mm, whereas the C/CS illuminate one that is 6.287mm x 4.712mm. So the circle of light exiting an EOS-M lens is going to be much, much bigger than required, and likely far bigger than the hole provided for the camera module. Not a big deal, but you are only going to use a tiny central portion of the EOS-M lens to illuminate the tiny sensor. It's a bit overkill IMHO.