Is there any chewing gum that does not contain any kind of artificial sweetener?

Yes, but why chew it: Sure... You can by lots of chewing gums that contain sugar, not artificial sweeteners. Buy why would you? Sugar containing gum can lead to tooth decay. Every time you consume sugar, the bacteria in your mouth metabolize that sugar to produce acids that can lead to tooth decay. And the sugar stays in your mouth long after the gum is gone, all that time your teeth are slowly dissolving.