Clarification of doubts type 2 and 1

Hello, I would like to share with you the following doubt and see if we can find an answer.
A person who was diagnosed with type 2 diabetes, after a while to continue with bad eating habits ... Can you acquire type diabetes?
It turns out that my father a couple of years ago was diagnosed with type 2 diabetes, but it turns out that for a while he began to inject insulin such as people who have type 1 diabetes.
Is this transformation of the disease possible?

I suppose that by continuing with bad habits, he squeezes the pancreas more than the account and therefore stops producing insulin, which leads to have to inject, but a type 2 diabetic does not pass to type 1.

It is not that transformation of type 2 to type1 occurs, but type 2 can continue to evolve until oral treatment is no longer sufficient and insulin is needed, because it is no longer enough.