Mogg was born in Brisbane and attended St Patrick's College, Shorncliffe (the same school as notable Wallaby Drew Mitchell). In 2006 he represented the Australia A Schools rugby union side.[2] He played colts rugby at the University of Queensland club. Mogg is distantly related to the former professional rugby league footballer, Adam Mogg[3]
Mogg joined the Brumbies rugby academy in 2011. Mogg made his professional rugby union debut for the Brumbies in the first round of the 2012 Super Rugby season against the Western Force in Canberra, scoring a try in a 19–17 victory.[4] Mogg, a former high school track star, recorded a maximum speed of 10.06 metres per second during 2013 pre-season sprint testing with the Brumbies, making him one of the fastest players of any football code within Australia.[5]
After six years playing in France, three with Monpellier before moving to Section Paloise, Mogg signed a two-year deal to return to the Brumbies for the 2022–23 seasons.[7]