Yes, a server can run games. A server is a computer that is designed to process requests and deliver data to another computer or device on a network. Servers are often used to host websites or applications, but they can also be used to store and process data.
To use a server to run a game, you will need to install the game on the server and then configure the server to allow players to connect to it. The process for doing this will vary depending on the game and the server software you are using.