Yes. A keto diet (less than 20gr of carbohydrates per day) or a no-carb diet make you rarely if ever fart.

Bacteria in your intestines can break down some carbs releasing methane and hydrogen gas. If there is very little carbs in your diet, then the bacteria in your gut won’t produce a lot of gas.

This is a common realization of first-timers of these diets and therefore a frequently asked question on r/keto etc.

Side-note:

Due to the shift in diet, some gut bacteria, that rely heavily on carbs, might die off, which increases gas, but after a couple of days your body adapts to the diet and the flatulence ends.