Before being selected by the Flyers, York played ice hockey at Shattuck-St. Mary's and in the U.S. National Development Program.

[3] Once he turned 14, York enrolled in Shattuck-St. Mary's, a Minnesota prep academy, where he totaled more than 100 points in two seasons.

[10] He enrolled in the University of Michigan for the 2019–20 season and recorded his first collegiate goal in a 2–1 loss to Ohio State on November 2, 2019.

[11] During the 2020–21 season, York led the Big Ten in defenseman scoring with 20 points on four goals and 16 assists.

[14] On January 8, 2022, York recorded his first NHL point with an assist to James van Riemsdyk as the Flyers won 3–2 in overtime against the San Jose Sharks.

His 17 points collected during the 2018 and 19 series helped earn him the honor of Three Best Players of the tournament for Team USA, U.S.