Zompist Bboard Again

A general shift of /kw/ > /kʲ/ is possible . The Plains Algonquian languages merged */w/ and */j/ to /j/ to varying degrees, so you're basically talking about a change of /w/ > /j/ after /k/ (though you may want to have that semivowel merger happen more widely for it to be more plausible). Wide is ...

I know /kw/ can become /p/ but is it possible for /p/ to become /kw/? If it can, then is it also possible for /kw/ to become /kʲ/?