不可以
“Her often being late ”作的是这句话的主语,“being late”在此处的作用是名词（动名词短语）,应该是个整体,而often是用来修饰的,与She is often late中 often是副词修饰形容词late的.
不知道这么说有没有让你理解点.she is often late中的often是放在复合谓语之间的，那么Her being often late 不也是的吗