There is no official information indicating that lan was ever a possibility. Its html5, always will be. No such connection is feasible let alone doable.
The server on the store is there so you can ensure 100% uptime on your own server, without having to write the software yourself.
You can make a multiplayer game via other technologies, such as websockets, or Phaser, or Firebase, and Parse.
While they are not peer to peer, you can set them up however you like, and even host your own server. Those servers are either self hosted, or via third party. Some require you to write software, some don't.