Narumi was born in Kawasaki on 3 July 1997. She joined Nadeshiko League club Tokyo Verdy Beleza in 2016, after being promoted from Tokyo Verdy Menina, their under-18 team.[2] Despite being young and a newly-promoted player for Beleza, she played many matches from her first season as a professional. During her years with the club, Beleza won consecutive Nadeshiko League titles in 2016, 2017, 2018, and 2019.
In September 2013, Narumi was selected for the Japan U-17s to play the 2013 AFC U-16 Women's Championship. She scored two goals at the tournament, with one of them being scored at the Final, that helped Japan to win the tournament for the second time in a row. In August 2015, she was selected for Japan U-20s to play the 2015 AFC U-19 Women's Championship, with Japan winning the tournament. In November 2016, she was once again selected for Japan U-20s, now for the 2016 U-20 Women's World Cup. At this tournament, she played five matches and Japan earned a third-place finish.[6]