Hunt was born in Simla, British India on 22 June 1910, the son of Captain Cecil Edwin Hunt of the Indian Army, and a great-great-nephew of the explorer Sir Richard Burton. His father was killed in action during the First World War. Hunt, from the age of 10, spent much holiday time in the Alps, learning some of the mountaineering skills he would later hone while taking part in several expeditions in the Himalayas while serving in India. He made a guided ascent of Piz Palu at 14. He was educated at Marlborough College before entering the Royal Military College, Sandhurst, where he was awarded the King's Gold Medal and the Anson Memorial Sword.