Might be a few name entry fields that disagree but yes, in the US, entirely valid.

Meanwhile in Iceland:

You can be Aagot, Arney or Ásfríður; Baldey, Bebba or Brá. Dögg, Dimmblá, Etna and Eybjört are fine; likewise Frigg, Glódís, Hörn and Ingunn. Jórlaug works OK, as do Obba, Sigurfljóð, Úranía and – should you choose – Vagna.

But you cannot, as a girl in Iceland, be called Harriet.

“The whole situation,” said Tristan Cardew, with very British understatement, “is really rather silly.”