Is this synchronisation (theoretically) possible over p2p communication protocols like Bluetooth or wifi direct? I would more than love to have local networks

Is this synchronisation (theoretically) possible over p2p communication protocols like Bluetooth or wifi direct? I would more than love to have local networks that can be emergent and growing and shrinking in this way. Reminds me of my student days when I was traveling in the train, wondering why we couldn't have a p2p social network for people who are in this train _right now_