Somewhat yes, but the thing with the no huddle is that it takes a special quarterback and a group of weapons who are all on the same page as him. In theory I’m sure every team would love to run the no-huddle, but it’s just not feasible with a young and inexperienced quarterback.
The Patriots right now are on the cutting edge of offense. Brady has been in the system forever and between Gronk, Hernando, Welker and Lloyd they have four threats each with multiple years in the offense. This is a big reason why you didn’t see more of Ochocinco last year. There was no way he could process all the information quickly enough to run the no huddle.
But yes, the no huddle is the perfect antidote to teams that like to use a lot of personnel and formations on defense. It forces the defense to stay with who they have on the field, and more often than not play on their heels, reacting to the offense.
The truly deadly thing about the Pats and the no huddle is that with their four weapons they can do pretty much anything from a power run to a spread attack. The tight ends are what makes this possible, especially Gronk because he’s a fearsome blocker as well as adept receiver.
So in short, yes all teams would love to be able to do what the Patriots do, it’s just most of them don’t have the personnel at quarterback and tight end to do it as effectively as New England.