Can you clarify what you mean? It can certainly be run on hardware that you call a server, just would depend on if you're running a graphical environment, it's not able to run in a terminal emulator afaik.
If you want a remote browser capable of running on a server (with the client, browser UI in a regular web page) check out BrowserBox: https://github.com/dosyago/BrowserBoxPro
I expect you can run it in headless mode (new --headless switch), start a Swank server (the backend of Slime, the backend of the most used CL "language server"), and connect to the Lisp process from home, through a SSH tunnel. And control the browser from the Lisp REPL, or a Lisp script, like we would with any running Common Lisp program.
