Cloud storage online for a game engine?

Is it possible to have the game I’m stored online? Rather than on my hard drive.
It’s so if I am working in a group of people, we can work on the same game. Usually games are made in a group of people.

Somebody’s got to do the character animations, the scenes, the blueprints, the menus, and stuff. Also, while one person is busy with life, someone else can jump in and work on the game engine. And have that game engine saved online.

You want a version control server, something like Perforce. There are companies like Assembla that sell ready-to-go servers with this software, or you can rent a server elsewhere and set it up yourself.