Graham began his career with Ross County before joining the Rangers Under-18 squad for £50,000 in 2020. Two years later, as a result of his development at Rangers, he was promoted to the B team, where he gained valuable experience in the Scottish Lowland League. Loan spells soon followed, with the forward making 13 appearances and registering one assist for Annan, and recording a further 13 appearances and scoring twice for Dumbarton. James came to the Binos as a trialist after leaving Rangers at the end of the 2023/24 season and made a tremendous start, helping the team to successive victories over Stranraer and Forfar Athletic.