Nope, it’s inherent in a lot of Class D. It doesn’t work quite the same way though. Some uses local feedback, which does not include the output, and some do.
Feedback and a triangle wave oscillator is how the analog input is converted to PWM output.
Class D does not have to use feedback.
PWM (pulse width modulation) does not use any feedback at all.
In a switching amplifier you have something called 'propagation delay'. This is a time delay caused by the fact that it takes a while for a device to switch on or off. Put a number of devices one after the other and there can be a quite measurable delay from input to output.
For this reason NFB taken from the output and applied to the input will always be slightly out of sync with the signal its supposed to correct. For this reason it will add distortion of its own. Fortunately class D amps don't have to use feedback to have low distortion.