Damya \d(a)-mya, dam-ya\ as a girl's name is a variant of Damia (Greek). See for meaning of Damya.
The baby name Damya sounds like Dama, Demia, Dumia, Dumiya, Tama and Tamma. Other similar baby names are Dalya, Damyan, Danya, Darya, Datya, Daya, Dasya and Samya.