It is possible, though arguably it wouldn't necessarily be the best user experience. At least I know I have the habit of smacking ctrl-c several times in a row when something isn't responding as rapidly as I like. Things like ctrl-c probably should not be stateful if one of the potential things it can do is close your program.

As another example, perhaps it would be nice if ctrl-w deleted one word backwards if you were currently editing text in your webbrowser, but close your current tab/window otherwise. If the state is always what the user expects when they press ctrl-w it would work fine, but in reality you would have lots of people accidentally closing tabs.