Actually it kind of does. Even in the animal world, an animal will mark its territory and defend that territory against encroachment.
Humans would do the same thing, except now we have outsourced the violence to the state. Instead of peeing on trees to mark our property, the state keeps a registry of property owners. Instead of physically fighting with intruders, we call the law enforcement arm of the state.
The concept of property or territory you control exists apart from the state.