Chungh's parents immigrated to Canada from India. He began playing football in the ninth grade and later won back-to-back lineman of the year honours at Terry Fox Secondary School. He also set school records in several lifts like the bench press and squat. Chungh helped the team win provincial titles in 2006, 2007, and 2008. He was also named to Team World at the 2010 USA vs. The World football challenge in January 2010.
Chungh was invited to the NFL's Super Regional Combine in Arizona in 2015. He was drafted by the Winnipeg Blue Bombers of the CFL with the second overall pick in the 2015 CFL Draft. He played in eighteen games for the Blue Bombers during the 2015 season. Shortly after the 2015 CFL draft, the Bombers signed Chungh to a two-year contract, which extended through the 2015 and 2016 CFL seasons. On November 14, 2016, Chungh confirmed that he signed a new one-year contract to play the 2017 CFL season with the Bombers.