Graham began his journey with the Delaware Ducks, where he backstopped the 14U and 16U AA teams with impressive numbers, including a standout 1.35 GAA and .942 save percentage in the 2017–18 season. He also competed with Salesianum High School in Delaware, gaining valuable reps while balancing academics and athletics.

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In 2018–19, Graham advanced to junior hockey with the Philadelphia Little Flyers (EHLP), where he appeared in 27 games, posting a 2.51 GAA and .915 save percentage, followed by a stellar playoff run with a 1.84 GAA and .951 save percentage while helping lead the team to four postseason victories.

He progressed to AAA hockey with Compuware’s 18U team, competing in the HPHL and NAPHL, maintaining a strong .940 save percentage over seven HPHL games while gaining exposure to high-level competition.

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Graham’s junior career continued in the NAHL with the Lone Star Brahmas, where he served as a reliable presence over two seasons, including a 23-win campaign in 2020–21, finishing with a 2.18 GAA and .917 save percentage across 37 games. He also briefly played for the Minnesota Wilderness, further expanding his junior hockey experience.

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Transitioning to NCAA Division III hockey, Graham joined Hobart College, contributing to the team’s success with strong performances, including a .951 save percentage in the 2022–23 season. He continued his collegiate career with UMass-Dartmouth, where he logged 17 games in the 2024–25 season with a .920 save percentage while earning eight wins.

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Throughout his career, Graham has demonstrated resilience, consistency, and a calm presence in the net, traits that have allowed him to adapt and excel at every level while providing his teams with the stability needed to compete at a high level.