Luyambula was born in Neumünster, Germany. As a youngster he played for TSV Kronshagen before joining Borussia Dortmund's youth system as an under-12. He was an unused substitute for Borussia Dortmund II in a couple of Regionalliga matches in 2018, but was released without playing for the club's first team.
He also spent three weeks on loan to Hungerford Town of the sixth-tier National League South in October, during which he made his senior debut in their FA Cup third qualifying round defeat by Wealdstone. In mid-December, he returned to Hungerford on loan for an initial month, and after the EFL gave their permission for his Birmingham contract to be extended to the end of the season, the loan was likewise extended. Luyumbula was the regular goalkeeper during the second half of Hungerford's season. He made 20 league appearances and helped his team avoid relegation in the final fixture.
Crawley Town
After Luyambula signed a one-year contract with Birmingham, he joined League Two club Crawley Town on loan for the 2019–20 season. Crawley manager Gabriele Cioffi hoped he would "put pressure on" established first-team goalkeeper Glenn Morris. Luyambula made his first competitive appearance for Crawley in the starting eleven for the EFL Cup first-round match away to Walsall on 13 August 2019; his team won 3–2. He kept his place for the next rounds of the competition, "punching and catching everything Norwich flung into his six-yard area" and keeping a clean sheet as Crawley beat the Premier League team, and then facing a penalty shoot-out to eliminate Stoke City. He also appeared in the EFL Trophy, but made no league appearances, and was recalled by his parent club in January 2020 with the intention of finding first-team football for him.
A.F.C. Telford United
Luyambula signed for A.F.C. Telford United on 30 January 2020 on loan until 16 May. He played five times in the National League North before the season was first suspended and then ended early because of the COVID-19 pandemic. Birmingham confirmed in May 2020 that he would be released when his contract expired at the end of the season.
VfB Lübeck
Luyambula returned to his native northern Germany and, on 4 June, signed a one-year contract with VfB Lübeck, newly promoted to the 3. Liga for the 2020–21 season.
International career
Luyambula was named in a 58-man long list for the DR Congo under-20 team in 2018, and was called up to the senior squad's training camp in June 2017.