Dastich started figure skating in 2003. In the 2014–2015 season she began to compete in the Junior Grand Prix series . At the European Youth Olympic Winter Festival 2015 in January 2015 she won the silver medal.
In September of that year she made her senior debut at the Nebelhorn Trophy and finished 14th. At the end of the season, she won her first international senior medal at the Bavarian Open. In December 2016 Dastich was second at the German championships behind Nathalie Weinzierl . After taking part in a European Championship for the first time in 2018 , she had to sit out the entire 2018/19 season due to an infection in her right foot.
Results
CS: ISU: Challenger series ; JGP: ISU Junior Grand Prix Series