Is Andrei Tarkovsky the greatest filmmaker of all time?

Does any filmmaker possess the acute ability to generate a wide spectrum of emotions from the audience, and then, when most vulnerable, with the force of ten, iron-clad, stampeding elephants, surge them, with meticulous precision, greater than Tarkovsky? I am specifically reflecting upon his composition of a Bruguel (The Hunters in the Snow) reminiscent scene, which evokes nostalgia of innocence and purity (children ice-skating), helplessly crushed by subsequent, adverse, and devastating historical footage of Hitler and Mao (impending doom of starvation after hunters return weak and feeble from an unsuccessful hunt), in "The Mirror".