Craig you can send midi on the QC but the messages aren’t already embedded into the footswitch like they are in the hx stomp. Depending on how many presets you have would depend on the best way to do this.
You could set up the scene/stomp select on the QC to correspond to its specific CC message. I.e. in the preset midi out settings on the QC you would enter CC#35 with any value under switch A, 36 for B, 37 for C and so on.
You could then use the midi learn function in the lyrics editor and it would send the right message as you went through the song. You would have to set this up on every preset which depending on how many you have could be time consuming.
Or you could add them manually like Peter suggested.