Can "The Virgin Mary" be called "daughter of Aaron"?
To a certain degree, according to our present knowledge and understanding of the genealogies of Jesus and Mary, it might be possible to call Mary, the daughter of Aaron. There remains a nuance to be understood here and atit is not at all absolutely clear at present.
Genealogy
The New Testament tells little of Mary's early history. The Gospel of Matthew does give a genealogy for Jesus by his father's paternal line, only identifying Mary as the wife of Joseph. John 19:25 states that Mary had a sister; semantically it is unclear if this sister is the same as Mary of Clopas, or if she is left unnamed. Jerome identifies Mary of Clopas as the sister of Mary, mother of Jesus. According to the early 2nd century historian Hegesippus, Mary of Clopas was likely Mary's sister-in-law, understanding Clopas (Cleophas) to have been Joseph's brother.
According to the writer of Luke, Mary was a relative of Elizabeth, wife of the priest Zechariah of the priestly division of Abijah, who was herself part of the lineage of Aaron and so of the Tribe of Levi.[65] Some of those who believe that the relationship with Elizabeth was on the maternal side, believe that Mary, like Joseph, was of the royal Davidic line and so of the Tribe of Judah, and that the genealogy of Jesus presented in Luke 3 from Nathan, is in fact the genealogy of Mary, while the genealogy from Solomon given in Matthew 1 is that of Joseph. (Aaron's wife Elisheba was of the tribe of Judah, so all their descendants are from both Levi and Judah.) - Mary, mother of Jesus
Although the Quran calls Mary "the daughter of Imran" and it mentions that people called her a "sister of Aaron, it is not something typically invoked by Christian communities. Nevertheless, the Christian understanding of Mary’s genealogy and her role in the Church is quite different in relationship to the understanding of Mary in Islam.