Is it possible to have a pet profile switch between two profiles? I have seen some user profiles that change every time the page is refreshed or after a certain amount of time.

Is this possible for pets?

It is. It's not necessarily pretty but you can use subeta's random scode to do it.

code here

(it can be cleaned up a lot by uploading your code as .css files somewhere and importing them as external stylesheets, rather than pasting the entire codesets in the description)