You are type 2 since birth? That doesn't seem medically possible, a diagnosis of diabetes at birth is neonatal diabetes, not type 1 or type 2. When was your diagnosis with type 2 diabetes confirmed, how old were you?
What insulin are you using? If you are just on two shots a day that suggests a mixed insulin. The next step up wouldn't be an insulin pump, it would be a move to a basal bolus regime with multiple daily injections. If you don't understand how to use basal bolus on mdi you wouldn't be considered suitable for a pump whatever type of diabetes you have. It's essential to be able to carb count, know your insulin to carb ratio and have a good anticipation of your basal insulin requirements before moving to a pump.
It's also possible you aren't managing your mixed insulin very well. A fixed dose of mixed insulin will only be able to deal with a certain quantity of carbs being eaten. Have you been given advice on what quantity of carbs your insulin dose is designed to deal with? Are you sticking to that carb intake?
When you say your insulin dose doesn't fulfil your requirements do you mean it's not managing your blood sugar or it doesn't suit your lifestyle? Both are things to be taken account of when deciding on what might be an appropriate prescription.