The idea that men were the hunters and women were the gatherers is just cultural baggage. Anthropologists generally agree that gender roles are less of a thing in hunter gatherer societies than in agrarian ones. Though hunter gatherers are also very diverse, and people do split things by genders sometimes, so a given culture might have any sort of gendered work division you can imagine.

Gender roles as we know them came with agriculture. Somebody has to spin plant fibers into thread, it's skill-intensive and enormously time consuming, so it makes sense to have a dedicated spinner in your family. It's a job someone can do while nursing or nine months pregnant, so agrarian societies everywhere picked women to do it. And all the stuff we think of as traditionally "women's work" happens to be stuff someone can do while spending almost all their time spinning.

(This post is overly reductive. It's only two paragraphs long, what do you want.)