A definite "NO"; it appears that there is insufficient room to "work" on the conductors within the box. It also appears that a "stubby" screwdriver might fit.
Now, who was there first? the sparky or the duct man??? I don't know to many sparkies that would bust there buns to put a box in a spot like that. So when the AHJ comes in for inspection, who fails??? the sparky of course; anyone ever see a tin knocker get a red sticker???

Nuff said
John


John