No. There's no consistent evidence of large groups of people who started reducing calories and in return lost pounds predictably. Subjects lose energy, become irritable, get headaches and migraines, have hunger pangs, every now and then just fall off the wagon and over-indulge, or just plain simple gain weight on reduced calorie diet in a controlled experiment.
The book "Good Calories, Bad Calories" contains in-depth research on the topic http://en.wikipedia.org/wiki/Good_Calories,_Bad_Calories
> with low carbs, no sugar
Now you're onto something. Sugar and carbs stimulate insulin production, which then stimulates fat storage.