Yes, the King of England is the head of the Anglican Church: 

• Title

  The monarch is the Supreme Governor of the Church of England and is also known as the Defender of the Faith. 
• Role

  The monarch's role in the church includes appointing high-ranking clergy and participating in the coronation service. 
• Authority

  The monarch's authority over the church is mainly ceremonial, but the position is still important. 
• History

  The monarch has been the head of the Church of England since 1558. The title of Defender of the Faith has been associated with the British monarch since 1507. 
• King Charles III

  King Charles III became the 25th British monarch to hold the position of head of the Church of England when he was crowned on May 6, 2023. 

The Church of England is the official Christian national church of England. It originated from the ancient Church in England, which was strengthened by the arrival of St. Augustine in 597. The Church of England split from the Roman Catholic Church during the Protestant Reformation in the 16th century.