Not exactly. As you probably know, Type 1 diabetes involves no insulin production. Type 2 involves extreme, excessive insulin production. But at some point for some type 2 diabetics their pancreas can actually become so overworked it "gives out" and becomes incapable of producing insulin. They then actually become Type 1 diabetics and require insulin replacement to survive.
Likewise, a doctor can prescribe insulin to a type 2 diabetic who's pancreas is still working (and without even ever testing their insulin responses) - which some argue should never be done because it only makes the insulin problem worse. Type 2 diabetes is completely reversible for probably most people via diet and lifestyle changes. But in the "chronic management" model of care extreme type 2 diabetics run the risk of becoming type 1 diabetics by being prescribed supplemental insulin.