Yes, they are one and the same. In fact the definition of foraging is basically a food getting strategy that combines hunting and gathering.
subject to negative opinion
When something/someone looks for something e.g. The badger was foraging for food
No government. To have government a society is needed, but in the era you ask about it was loose bands of people hunting and foraging for food. Much more is needed to create a society, art, and government.
Raccoons do not have hobbies, if that is what you mean. If they are not foraging for food, they are most likely sleeping in their den.
forging: to forge
What do you mean by term Healthy society
Foraging for Berries, isn't what it use to be.
In foraging societies, it was common for men to be hunters and women to be gatherers.
Society to mean humankind or people antonyms are nonhuman or animal. Society to mean an organization or institution antonyms are an individual or casual. Society to mean an upper class antonyms are ordinary or common.
That is the correct spelling of "foraging" (obtaining or finding food or other materials).
Something that is given to society.