If you are newly diagnosed type 2, this may well be possible. Your pancreas still produces insulin, but you have most likely become very resistant to it. Many type 2s at diagnosis are producing way more insulin than a non diabetic, but they have become so resistant to it that it can't be used effectively. The aim of some medication for type 2s is to lower your resistance to insulin, so your pancreas stops getting so overworked, and this preserves it's ability to produce insulin. The good news is that there are other ways to lower insulin resistance, and this will have a positive knock on effect with weight, hunger and general well being. Regular exercise is a fantastic way of reducing insulin resistance. Also, a growing number of diabetics are also following low carbohydrate diets, although not everyone supports this. Less carbs means less insulin requirement. Less insulin in the system means you will become less resistant to it over time. This does not mean you should starve yourself, but instead get your energy from protein and fat (eggs, meat, cheese etc). Plenty of vegetables are also always a good idea.
Hope that helps, feel free to post if you need any clarification.