Davies was born in York, England and first studied piano and recorder, mentored in his early years by his father Ioan. From the age of eight he sang as a boy treble in the choir of St John's College, Cambridge. He began singing countertenor in his teens, at Wells Cathedral School. He returned to St John's as a choral scholar, graduating in archaeology and anthropology. He gained his DipRAM from, and was later appointed ARAM by, the Royal Academy of Music. In 2004 he won the Audience Prize at the London Handel Singing Competition and in 2010 was named "Young Artist of the Year" by the Royal Philharmonic Society.
Davies' father Ioan is a long standing cellist with the Fitzwilliam Quartet and a member of St. John's College.