Short answer
Yes, the Azores are an autonomous region of Portugal, with their own government and parliament. This means they have political and administrative autonomy to decide on regional matters, such as education, health, and taxation, within the national framework. However, they are not independent; they remain part of Portugal and the EU. For specific powers, check the Azores Regional Government website.
General information, not legal or tax advice. Rules and amounts change: confirm with official sources.