Short answer: Yes...but it's complicated. There's no question that the 8.8cm L/56 was fully capable of knocking out most Allied tanks at long ranges. However, on the flip side...well, I'm going to quote former Chieftain tank commander and history buff, Nicholas Moran. Because it's a wall of text, I've bolded the important parts that are not well understood in popular history.



"...reputation affects all. The word “Tiger” had a cachet of its own. Mix it in with the demonstrated difficulties in killing Panther, and Sherman’s reputation became even more soiled in the great Tiger/Sherman match-up of myth and legend.



"The reality, however, was much different. The arrival of the 76mm gun greatly equalized the battle, giving Sherman a more than fighting chance. By the end of the war, the time of Fury’s setting, Sherman had one additional ace up its sleeve: The HVAP (High Velocity Armor Piercing) round. Primarily in response to the Panther problem, the US powers-that-were authorized the development of a “hot” tank-killing round. The projectile which would give Sherman (and most of the tank destroyers) a fair chance against Panther at moderate range could, and did, kill Tigers at over two kilometers. Both tanks could now kill each other at long range, except one tank was faster, more mobile, lighter, had a higher rate of fire, was more accurate, more likely to spot the enemy first due to proliferation of optics, had faster traverse, and had a stabilized gun. Oh, and it also had the advantages of better artillery and air support. It was no longer much of a contest and the roles had been reversed. Tiger crews now had justification to fear Shermans far more than a Sherman crew had to fear Tiger. Even the continued use of 75mm tanks was of little comfort to the Germans: By Autumn 1944, wherever there were 75mm M4s, there were probably also 76mm M4s.



"It was, of course, true that HVAP was a very limited availability round. The typical M4 only carried a couple by the end of the war. On the other hand, Tigers (And most other cats) were very limited availability tanks. There wasn’t much to shoot the HVAP rounds at in the first place, so it rather balanced out.



"So how does this all relate to Fury? Well, as I’m looking at the various responses to the trailer, I’m finding a disturbing amount of people who are saying “Shermans vs Tiger? The only way they’ll win is Because Murica and Because Brad Pitt.” I have my own concerns with the battle scene, but not because of the (presumed) final outcome of American victory. Some concessions are doubtless made for dramatic effect, but the bottom line should not be in doubt, unless the Tiger is equipped with plot armour: All other things being equal, the M4s are more than capable of winning on the balance of vehicle characteristics, and when you add in experienced crews... Well, let’s just say one would have legitimate concerns for the resale value of the German tank after such an encounter."



The movie scene is extremely over-dramatized. At the range shown in the movie, there would be virtually no chance of either side missing their first shot (the Tiger doesn't, but then he misses a couple more times). At under 500 meters, against a target charging straight at you, the Tiger's gun was essentially point-and-shoot.



On the other hand, however, at those same ranges, the American 76mm is effective against the Tiger's armor and has basically the same advantage, magnified again by special ammunition; furthermore, the American guns would be stabilized, and once the element of surprise is gone, you are looking at 3 tanks fighting 1, with the first hit on any being a kill shot, and the 3 far more likely to hit first. In those odds, the Tiger would almost always lose, and it's stretching it to say that the Tiger would take down more than the first Sherman.



Earlier in the war, the story may have been different. German crews were more experienced, American ones less so. The 76mm-armed Sherman was not common until 1944. American numerical superiority was not as high. Proper wet-stowage for the Sherman was not standardized. But in spring of 1945? No way. The only way that that Tiger crew lives is if they don't open fire in the first place.