Kammala jumla mai zuwa: An haife shi kuma ya girma a Nova Scotia, Barron ya buga wasanni biyu na hockey na kankara tare da Gladiators na Newbridge Academy na Nova Scotia Major Midget Hockey League (NSMMHL) kafin ya shiga Kwalejin St. Andrew a Ontario. Bayan kammala karatunsa, ya yi rajista kuma ya kammala karatu a Jami'ar Cornell don yin wasan hockey na kwaleji kuma New York Rangers ta zaba shi a matsayin na 174 a cikin
Zaɓin shiga na NHL na 2017.