2010-11: Tyler Moy skated for the California Titans U16 team. He scored 12 goals with 17 assists and 18 penalty minutes in 20 regular season games and had 2 goals with 5 assists and 4 penalty minutes in five playoff games. Moy was invited to USA Hockey's Select 16 Development Camp. He was selected by Omaha in the second round (26th overall) of the 2011 USHL Futures Draft.
2011-12: Moy moved to Illinois to play for the Chicago Fury U18 AAA midget team. He was the team's second-leading scorer with 18 goals and 27 assists and had 6 penalty minutes in 40 games. Moy committed to attending Harvard in 2013-14 in February 2012.
2012-13: Moy joined Omaha in the USHL and was one of three players to play in all 64 games for the Lancers. He scored 4 goals with 19 assists and was -5 with 22 penalty minutes. Omaha missed the playoffs; finishing fifth in the Western Conference.
2013-14: Moy appeared in 27 of 31 games for Harvard in his freshman season; playing both center and right wing. He scored 4 goals with 6 assists and was -7 with 2 penalty minutes. The Crimson finished 11th in ECAC Hockey and lost to Yale in a preliminary round playoff series.