Practically no. You can pull the launcher up, but then it's in the way of the fletchings. The manual cock position isn't fully up activating the fall away function. At full draw it's pulled fully up which loads the drop down function and falls away at the shot. So if your string breaks you can manually flip up the launcher, but to drop it you have to manually pull it to fully up and then let go, simulating your full draw and release of an arrow.
FWIW the hamskea auto pops up if the string is broken and remains in the up position. You can also hunt this way, but again the fletchings are in the way just like the QAD.
Essentially if your launcher cable of either rest breaks your screwed till it's fixed. I run the hamskea and that's why I carry enouch string to just replace the launcher cable. It's really easy to do with a few knots.