That's what I did with my melee Zero on UVHM, but with Infinity/Bee. I stood on top of the stone pillar to the immediate left of the shield and pretty much just held the trigger on him.
Of course, this was after dying right when the Warrior fight started. I beat Jack to death with no problem, but when the Warrior emerged, a robot and three crystalisks turned me into a pin cushion before I could even move. --- "NOOOOO!!! How will I juggle?!"