To put the issue into viewpoint, first realize that children and adults around the world who die of starvation are not fat when they pass away.
To be sure, when you severely cut calories, your metabolism will make a slight change (not a large compensation), allowing it to run on fewer calories. This is where some health professionals get confused about "holding onto fat."
The real problem is that as you lose weight, it gets harder to continue progress because you are lighter and fit. Your amplified efficiency forces you to have to perform more work or eat less in order to continue progress. So don’t worry about the slight decrease in metabolism, simply keep your workout "unaccustomed" or add movement (e.g. steps) to your daily activities as your weight decreases. Also often when dieting on extremely low calorie intakes, you may be slowing down. In other words, you become less energetic, forcing a decline in your daily activities and therefore burning fewer calories overall. This can lead to a weight-loss plateau.
So the answer is no.