Lussick played his junior football for the Beacon Hill Bears. He also played for the Manly-Warringah Sea Eagles S.G. Ball side in 2007.
Manly-Warringah
Lussick made his debut game in round 14 2011 against the North Queensland Cowboys, a game which Manly ran out easy 24-4 winners at Brookvale Oval against the previously in-form Cowboys. Lussick is also known for his part in the "Battle of Brookvale" which resulted in a three match suspension. Manly would go on to be premiers in 2011 but Lussick played no part in the club's finals campaign or the 2011 NRL Grand Final.
Parramatta
On 14 June 2012, Lussick signed a 3-year deal with the Parramatta Eels. Lussick won the Ken Thornett NRL Players' Player Medal. At the Eels Lussick become an ambassador for Midas, The Kellyville Bushrangers and made an appearance on The Footy Show. 2013 saw Lussick win multiple players' players awards. At the end of the 2013 season Lussick had an over due groin operation which he played most of the season with. In Lussick's first year at the Parramatta Eels he won the prestigious Ken Thornett NRL Players' Player Medal 2013. In March 2014, Lussick was suspended for 4 matches due to a tackle on a Sydney Roosters player, Jared Waerea-Hargreaves. At the end of his playing time with Parramatta, Lussick had played 53 games and had scored no tries. He was also a member of the Parramatta side which finished last in 2013.
Return to Manly-Warringah
On 18 August 2015, Lussick signed a three-year contract to return to the Manly-Warringah Sea Eagles starting in 2016. On 21 May 2017, Lussick was sin binned for an illegal shoulder charge on a North Sydney player when he was playing for Blacktown Workers Sea Eagles against North Sydney at North Sydney Oval. On 16 July 2017, while Lussick was playing for the Manly-Warringah Sea Eagles against the Wests Tigers, Lussick pulled Wests Tigers captain Aaron Woods' hair. Lussick was charged with contrary conduct by the NRL, entered an early guilty plea, and was fined $1350. On 23 July 2017, Lussick was sin binned in Manly's 52–22 loss against the St George Illawarra Dragons for punching St George player Jack De Belin.
Toronto Wolfpack
On 21 April 2018, Lussick left Manly to join The Toronto Wolfpack. It was reported that Lussick departed the club due to coach Trent Barrett's refusal to pick him for the first grade side despite being fit and had overcome his injuries. It was also reported that Lussick and Barrett had a verbal altercation at training in the lead up to Lussick's departure. On 7 October, Lussick played in Toronto's 4–2 defeat against London Broncos in the Million Pound Game. In 2019, Lussick played in Toronto's Million Pound Game victory over Featherstone to secure promotion to the Super Leaguefor the first time.
Boxing career
On 7 December 2019, Lussick made his boxing debut against former NRL player Justin Hodges. Lussick won in his debut fight knocking out Hodges in the first 39 seconds of the bout.
Personal life
Lussick was named as CareFlight Ambassador, the Parramatta Eels new charity partner for 2014. Darcy is the older brother of Joey Lussick who plays hooker with the Salford Red Devils in the UK.