Yes it's possible to lose body fat and gain muscle at the same time but no, your plan isn't likely to get you there.
Adding muscle doesn't necessarily require massive amounts of food. In fact, it rarely requires the several thousand calories per day that are routinely recommended. The average beginner can see very respectable muscle gains on relatively modest amounts of calories.
Losing fat requires that you take in
fewer calories than you burn.
That means your best shot at adding muscle while losing fat is combining a comprehensive
lifting routine that hits all major muscle groups with heavy, compound exercises with modest calorie deficits.