Nope. Someone posted a link above[1] to what I assume is a 23andme FAQ response, stating that they have a Certificate of Confidentiality from the (US) government.
According to this NIH page on said certificates[2], it sounds like even if they were served a subpoena for the information, 23andme could still tell them to fuck off.
[1] https://customercare.23andme.com/entries/21262376-how-is-the...