No, I am not aware of any cards that were ever put out with any gum, but there is this super cool 'Talking Card' of Sunset Thomas that actually talks when you press a button on the back...

This is an actual talking card. It has a button on the back of the unit that when you press it, is has Sunset's voice that says

'Hi, my name is Sunset Thomas and I like to do it all night long, but first let's start out with a little lick'