I would guess so. All you would have to do is install the software on each computer and then designate what programme you want to run using the keyboard shortcut buttons. This done through the software which shows up on the taskbar.
For example, on one computer you would have the "internet" button set to start IE, while on the other you could have it set to run Firefox (or whatever).
You can also reprogramme the mouse buttons should you so desire.