Kostevych was born in Khabarovsk, Russian SFSR, Soviet Union.

At the age of 17, she won the 10 m air pistol event at the 2002 ISSF World Shooting Championships.

[3][4] She won no medals at the 2016 Summer Olympics in Rio de Janeiro.

At the 2020 Summer Olympics (Tokyo, 25 July 2021), she won 4th place in the 10 metre air pistol competition; on 27 July 2021 Olena Kostevych and Oleg Omelchuk won a bronze medal in the ten-metre air pistol.

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