Wolfe attended Ackworth School[5][6] near Pontefract and joined a local Saturday youth theatre in Wakefield.
[10] Wolfe was cast to play the lead role of Tim Walker / Tamino in the 2022 German musical fantasy film The Magic Flute directed by Florian Sigl and written by Andrew Lowery, based on the 1791 opera of the same name by Wolfgang Amadeus Mozart.
[11][12] In 2023, Wolfe appeared as a regular on the second season of the fantasy series Shadow and Bone, portraying Wylan Hendriks.
[17] In 2019, Wolfe played Tobias Ragg in Sweeney Todd at Lyric Theatre in Belfast, Northern Ireland.
In 2021, Wolfe played the lead role as Peter Duchene in The Magician's Elephant, based on the 2009 children's novel of the same name by Kate DiCamillo.