可不可以说She takes turns to do the dishes?

没这样表述的吧!TAKE TURNS 是依次轮流（多人）,如：Susan and her brother take turns (at) doing the dishes.
苏珊和她的兄弟轮流洗盘子.
The students took turns to clean up their classroom.
学生们轮流打扫教室.
这句话应当表述为：IT'S TAKE HER TURN TO DO THE DISHES
TAKE TURN 才用在某人上,意为轮到某人做某事