I don't think that's true either.

When my 3yo kid takes a toy from another kid without asking and I tell him he has to give it back, that's socialization and that's not the state.

dude, how hard is this to understand? if a group of dudes with guns were to rock up to your house and say 'get out, this is our house now', you would not be able to do shit unless you somehow go john wick on them. the monopoly of violence and enforcement of rules within a territory (a state) is the foundation necessary for property rights.

just because we don't walk on all fours and smell urine for information doesn't mean that we would not revert back to aggression and dominance if you remove all manmade recourses for settling disputes and enforcing property rights. why on earth would you think people would respect ownership of goods when you can just take what you want through intimidation? all ordered systems are at the mercy of entropy and it takes effort (i.e. the state) to maintain such order. it only takes one person to step out of line in times of anarchy for others to realise that it makes no sense to cooperate and follow rules when there is no one to enforce them, sending the whole system back into chaos.