No- If you drop a giant stationary cubic grid of balls attached together with springs on the ground, the whole shebang will get faster and faster as it approaches the ground. But the balls will not begin vibrating until the whole assemblage strikes the ground. Now, the faster this giant cube of balls on springs is going, the more the balls will begin to vibrate, but vibration does not begin until the overall mechanical energy is converted to the internal random motion by some mechanism. The same argument applies to the molecules of the basketball.

No- If you drop a giant stationary cubic grid of balls attached together with springs on the ground, the whole shebang will get faster and faster as it approaches the ground. But the balls will not begin vibrating until the whole assemblage strikes the ground. Now, the faster this giant cube of balls on springs is going, the more the balls will begin to vibrate $\textit{after}$ striking the ground, but vibration does not begin until the overall mechanical energy is converted to the internal random motion by some mechanism. The same argument applies to the molecules of the basketball.