Greco began playing hockey at the age of five, her parents encouraging her to play the sport instead of figure skating.[2] She attended Aldershot School where she played varsity field hockey, soccer, ice hockey, and badminton in addition to playing basketball, volleyball, and softball throughout her high school career.[3] During the later three years of high school, she also played ice hockey with the Toronto Jr. Aeros of the Provincial Women's Hockey League (PWHL), serving as team captain in her final year. As a senior, Greco was named the 2013 Aldershot Female Athlete of the Year and the City of Burlington's High School Female Athlete of the Year.[4]
NCAA
From 2013 to 2017, she played with the Quinnipiac Bobcats women's ice hockey program in the ECAC Hockey conference of the NCAA Division I, scoring 25 points in 144 games. She scored her first collegiate career goal in February of her third year, the game-winning goal in a 4–0 victory over Rensselaer. That year, she would be named to the ECAC Hockey All-Tournament Team, leading her team in blocked shots.[5]
She returned to the PHF ahead of the 2020–21 NWHL season, signing with the expansion Toronto Six and was one of the first five players to be announced for the team.[7] The leadership for the inaugural season included Greco, who served as one of the alternate captains with Emma Woods, while Shiann Darkangelo appointed as the first team captain in franchise history.[8] Competing in the Six’s first-ever game, a January 23, 2021 affair at Lake Placid’s Herb Brooks Arena versus the Metropolitan Riveters, Greco would be called for interference at the 3:01 mark of the first period, recording the first penalty in franchise history.[9]
Greco has a bachelor's degree in business and marketing from Quinnipiac University. While pursuing her MBA at Qunnipiac, she played with the Quinnipiac Bobcats women's soccer team for the 2017 season, appearing in 15 games, including 14 starts.[11][12]
She has been in a relationship with her former Toronto Six and PWHL Minnesota teammate Michela Cava since October 2022.[13]
^Chichester, Ryan (September 12, 2017). "Why not both?". The Quinnipiac Chronicle. Archived from the original on November 24, 2020. Retrieved January 1, 2021.