Yes, but the Anglican Church did not start with Henry VIII. That was the simplistic statement. It started with the Reformation, was put on hold when Henry VIII died and then was finally instituted under Queen Elizabeth.
Of course it started with Henry VIII. He started the Church of England.
Initially prompted by a dispute over the annulment of the marriage of King Henry VIII to Catherine of Aragon, the Church of England separated from the Roman Catholic Church in 1534 and became the established church by an Act of Parliament in the Act of Supremacy, beginning a series of events known as the English Reformation. During the reign of Queen Mary I and King Philip, the church was fully restored under Rome in 1555. The pope’s authority was again explicitly rejected after the accession of Queen Elizabeth I when the Act of Supremacy of 1558 was passed.
So as simplistic as can be said, since it simply a fact, Henry VIII started the Anglican Church of England when it broke from the Church of Rome.
For the next several decades a bloody struggle took place within the Kingdom until Elizabeth put an end to it with the 1558 Elizabethan Settlement, which developed the understanding that the church was to be both Catholic and Reformed:
So He started it. Simple and true!