No. Tilting means the remaining columns at the collapse zone are buckling, and that means some destruction of the lower block. There is further destruction (of the "hinge") at the instant the upper block also begins to fall. There is a great deal more destruction after whole new floors are hit and destroyed later in the collapse, but whenever there is motion of any kind, there is some destruction.
Also, keep in mind that the upper block continues to rotate even after it begins to fall. It retains some angular momentum. This makes it very difficult to estimate exactly when it begins to fall. In your pictures, the fall is already underway, it's just hard to see because the sense of scale is so huge.
Finally, "the 3.7 meter drop is what supplied the necessary energy to destroy the tower" is wrong. There is additional gravitational energy injected all throughout the collapse. The 3.7 meter drop is only needed to begin destruction, i.e. enough energy to fail the second floor's worth of supports. And this is, indeed, enough energy to do so.
The rest of the structure consumes approximately 50% of the total gravitational energy during the collapse, much more than the initial kick after the upper block falls 3.7 meters.