Yes that's why he was called Leonarda da Vinci, the literal translation is Leonardo of Vinci, he didn't have a surname when he was born so he was called Leonardo di ser Piero da Vinci (Leonardo son of Piero of Vinci) which was later shortened to Leonardo da Vinci.
Leonardo lived in a village called Vinci and Da Vinci is meaning of Vinci that is telling you where Leonardo Da Vinci Lived and how he got his name. Hows that for answering your question hey?
Da Vinci was the son of a nobleman and a peasant woman and was educated at home. Some basics were taught by the village priest. . No formal schooling, the village priest taught him the basics. Leonardo da Vinci was self-taught.