Short answer is yes, you can CPOP those types of soaps, but the real question to your question would by why?
As EG pointed out, all CPOP does is ensure a full and complete gel, and additives such as sugars, milks, etc., that already are known heaters, and can provide full gel without any help, is there really any point to CPOP? In my minds eye, no, there really isn't.
And as EG also pointed out, you could cause yourself more grief by overheating, which can cause a host of it's own problems, such as separation, volcanoing, alien brain look, cracking, etc.,