No, diabetes mellitus is an incurable disease once you have diagnosed with it. However, it can be controlled/managed with healthy lifestyle and dietary habit consistently and lead a normal life like others. Not eating carbohydrate or severely restricting carbs is nearly impossible for any length of time, especially for diabetics; in fact, not even recommended for a healthy individual. It is not healthy as this practice will cause malnutrition at some extent especially on essential macronutrients (carbohydrate), which is playing important role in supplying instant energy to body cells compared to fats or protein sources. Eat healthily and moderately will be smarter than restrict it completely.