It’s interesting that we have found a way to reduce smoking through taxes but not the much larger problem of obesity.
Not sure how you could try something like that on a small scale with a country with these issues like the US since people could just drive a town over, and a state would probably be too big of a sample size.
It's not exactly a great idea to tax a hungry kid's only meal of the day.
Really, the only way you could logically do this is to track everyone's consumption of food, which is very problematic for various reasons... or by taxing certain types of food, which is more likely to shift the problem rather than solve anything.
It's probably easier to impact health by encouraging movement than decreasing food intake.