Yes, that is possible. The software you'll need depends on your operating system (OS). Your new PC then becomes a so-called "headless server", controlled by the laptop's keyboard, mouse and monitor. The software you need is related to controlling a "remote desktop" (even though remote might mean less than 3 feet away in your case). However, it does require your laptop to be switched on. You were complaining that your laptop generates noise. Wouldn't you then still have the noise?