No...
Unless perhaps Temple of The Pink Daisy (?) -only at times. That is a mouthful. Not sure it counts.
I DO call "it" a "kitty" in general, and that is the closest to a pet and a name as I get! I don't name a cat "kitty" and it is not a given/"pet" name for it, though, either! >_< I am sure a simple NO would have sufficed. Sorry.