I'm sure any class can do it because you can use focus and restraint, I myself did it as a Witch Doctor.
Notable pieces of gear: Scrimshaw, ancient 2.7k dmg, Jeram bracers, focus/restraint, thing of the deep off hand,
fetish belt, rest was all yellow crafted gear. In the cube I had Furnace/Grin Reaper/unity. Gems were lvl 25 Estoric/
Gizzard and lvl 50 Bane of the Trapped.
I completed GR 40 at 14:45, had a terrible rift with barely any mobs and didn't die a single time.