Yes such a thing does exist. I'm actually chewing the Wrigleys " sugar free" sweet mint chewing gum. My first impression was that its very bitter. After a while it becomes kinda sweet and you kinda enjoy it. During this time you discover its' a rather small piece of gum. So you can't really make bubbles with it. But then its not Bazooka Joe is it? It's a chewing gum and not a bubble gum. Still, something to chew on....mmm???