Chung was born to an Irish mother and a Malaysian-born father. His parents met while studying in London. Chung grew up in Mount Eliza, a suburb of Melbourne. He attended Padua College.
Chung first became interested in acting through a school production of Aladdin when he was in Year 6, starring opposite Sarah Reilly. He participated in acting workshops at St Martin's Youth Theatre and auditioned for singing competitions during his teen years. He began his studies at university, but withdrew. He was 21 when he decided to take an intensive course at the Ward Acting Studio in New York. He then moved to London in 2012.
