Realtime multiplayer over web server

I have a 2d game on a website. It is fairly simple because it is a 2d top-down shooting game. Right now it is between two players on the same client and keyboard ( https://homelesshomies.github.io/shooter_game.html ). I would have each person's client run a rigidbody2d to move the character around and rotate it and also test for collisions on the map. What I would like to do is have every person on the website URL join into a game and all be able to see each other and the bullets that each other are firing. Is it possible to have every client receive the transform of every other player and bullets to render them on their own screen?