We even form corporations to try to deed land as a group. That's the entire purpose of an HOA -- to confer private ownership of community-owned land and equipment among the members of the community as their private land changes hands.
HOAs do not confer private ownership of land among members of a group.
They impose a mutually agreed upon set of rules on everyone who owns land that is covered by the HOA (with one of the rules preventing severance of the property from the HOA).
You don’t need a corporation to deed land to a group. Any group of persons can hold title to a property. My wife and I had to choose whether to buy our condo as joint tenants or as tenants in common.