Nope.
For starters, Howard took all the other lugs off. This is a no-no for several of reasons. For one, it's dangerous. But, most importantly, it puts all the weight on the last lug, making it that much harder to get off. Any self-respecting mechanical engineer should know that.
Even still, those four-way lug wrenches are designed to generate a huge amount of torque with the basic overhand/underhand, especially with proper traction (Use a floor mat.) and a solid grip. (Wrap a t-shirt around your hands.)
But even if that doesn't work. There are plenty of "tricks" one can do--especially with four people standing around--with the iron that should loosen 99% of all the toughest lugs. Ironically, most of them employ the same concepts listed and aren't nearly as absurd.
Now I get what they were going for. The problem is, these guys are all supposed to be super smart and instead all look like Clarksonesque buffoons.