A son of actor Bill Pullman, he began his acting career with the film The Ballad of Lefty Brown (2017), starring his father.

[5] Pullman plays the drums in the band Atta Boy alongside Eden Brolin, Freddy Reish, and Dashel Thompson.

After graduating college in 2015, he was asked by filmmakers Jonathan Dayton and Valerie Faris to audition for Highston, a television series from Sacha Baron Cohen and Amazon Studios.

[11] Pullman made his feature film acting debut in 2017 with The Ballad of Lefty Brown, a Western starring his father in the titular lead role.

[12] His additional roles in 2017 include the Arnold Schwarzenegger-led Aftermath,[13] the British drama Lean on Pete,[14] and the critically acclaimed film Battle of the Sexes, the latter also starring his father.

[18] That same year, he starred alongside Jeff Bridges, Cynthia Erivo, Dakota Johnson, Jon Hamm, Cailee Spaeny, and Chris Hemsworth in Bad Times at the El Royale.

[33] In 2023, Pullman played a youth pastor in The Starling Girl, the president of a fraternity in The Line, and had a major role in William Friedkin's final film, The Caine Mutiny Court-Martial.

[37] In 2024, he starred in the crime thriller Skincare[38] and the James Wan-produced horror film adaptation of Stephen King's 1975 novel 'Salem's Lot.