Not 'burned in', but you can overlay a shot clock over the output.
You can do this using the DSK feature on the 440.
Set your DSK source to be the 'Clip List Preview' angle that you are feeding in the inputs on the live clock on. Turn on the DSK and use the position controerl to resize, crop and position the shot clock where you want it on screen. Now whatever clip you load in the Output, you will get the shot clock that matches. You can also make a macro to turn the DSK on/off to make it easy have the clock on the screen when you want it.