If you're talking about the Keto diet, its possible. It requires 2 carbs up days, probably midweek and 1 weekend to fill up your muscle glycogen tank. Then the rest with low carbs, high fats and proteins to fill up that caloric deficit.
During this Keto diet, your body needs time to adjust. 3-14 days. Then it will switch to an alternative source of energy, which is stored fats.