Kids tend to want to partake of their own initiative in activities that are 1) physical, and 2) that they see adults themselves do.

Hunting in wilderness is a good example; so are sports, cooking, crafts, etc.

But unfortunately not all important activities that kids need to learn to become well adjusted adults in our modern societies fit those 2 criteria.

Point 2) can be hacked to an extent by modeling the behavior yourself - eg kids who see adults read books are more likely to want to read themselves.