Culp attended Gonzaga Prep School where he was graded as a 3-star recruit by ESPN, 247 Sports and rivals.com. He was offered by many Pac 12 schools, but ultimately chose to join Washington.
Culp did not see any action as a freshman and redshirted. In 2019 as a redshirt freshman, he played 12 games as a contributor on special teams and a backup tight end, but did not record any stats.
Culp played just 2 games in 2020 making just one catch. In 2021 he bounced back playing in 12 games and starting 5. He recorded 20 receptions, 222 yards and a touchdown.
As a redshirt senior in 2022, he caught 29 passes for 266 yards and a touchdown. He chose to return for a sixth year in 2023 and tallied 16 receptions for 208 yards and 2 touchdowns.