Plenty of ways, however, you will need to provide a lot more detail.
What voltage is this light? How much wattage?
How exactly do you want to control it? Via software? Or physically?
Arduino code executes on separate hardware, so that will complicate things, but again, very doable with the right circuit. Basically would need to write a tiny amount of software, then build a driver circuit to switch on a higher current/voltage to power the light.
You could also just go for some home automation equipment these days. (Or even back in the day, certainly recall there were kits for running household lights off a PC in MS-DOS, I believe it was serial)