I can't give a definitive answer (experts will need to come forward for that), but it could be possible in iClone, which has Python scripting. CC has no scripting, so it would need to be in iClone.
You can do morph animation in iClone, so I can imagine a Python script that changes morph values for the head shape, after which you could save out that particular character.
The option does somewhat exist for older G5 characters, but those are not of the same quality as the current CC characters.
It would indeed be an interesting and useful feature, but it doesn't seem to have ever been requested.