Yes. There are some long-acting insulins that are not covered by publicly funded plans. There are concentrated insulins, as well as mealtime or rapid insulins, that are not covered by publicly funded plans.
I will add that most times we can get coverage for some type of insulin, but it's difficult for people to give insulin without the pen needles that go with it. They may have to be paid for up front, or they may not be covered at all.