Bak is of Congolese origin;[2] and the son of a baggage handler at Paris's Charles de Gaulle Airport and a customer service agent, both of whom emigrated from Zaire to France in the 1980s.

The future actor grew up with his six siblings in the town of Le Blanc-Mesnil (Seine-Saint-Denis), residing there until the age of 21, within the Tilleuls neighborhood, situated in a sensitive urban area.

In 2011, he was expelled from Nelson Mandela Middle School (Le Blanc-Mesnil) due to numerous disciplinary issues and subsequently continued his education through correspondence courses.

[5] After being denied admittance to the Comedy Club (owned by Jamel Debbouze) due to his age, he met Emmanuel Smadja, the director of the Parisien café-theater Le Pranzo.

His television journey continued in January 2014 when he became a part of the team for France 2's new prime-time access program, L'Émission pour tous, hosted by Laurent Ruquier.

He took one supporting roles in two comedies: Anthony Marciano's Les gamins[citation needed] and Pierre-François Martin-Laval's Serial Teachers.

[13] At this point, he expressed his desire for career growth and diversification, aiming to move beyond comedy projects and shed the label of a comedian.

The film tells the story of a second-year class preparing for the National Contest of Resistance and Deportation, and it received positive reviews from critics.

He achieved his first leading role in 2017 in Seuls, a film directed by David Moreau, where he portrayed Dodji in the cinematic adaptation of the comic book.

In 2018, Bak had a lead role as Private Faustin, in Joel Karekezi's The Mercy of the Jungle, which had its debut at the Toronto International Film Festival on September 8.

The director entrusted him with the character of Amani, an intern in the Japanese branch of a major French bank, set against the backdrop of Japan's challenges in the wake of the 2011 tsunami and the Fukushima nuclear accident.

In 2022, Bak took on the leading role alongside Alice Da Luz in Dancing the Twist in Bamako, a film directed by Robert Guédiguian set during the era of socialist Mali under Modibo Keita.

[21] He also made an appearance in Novembre, directed by Cédric Jiménez, a film that revolves around the pursuit of the terrorists from the November 13th terraces commando attack.