No, because DO.NET requires full(maybe client) .NET framework and as i look at xamarin it compiles just some of .NET libraries. But maybe i'm wrong on this. One way i see is to create asp.net web app where you will have server side code which will use DO.NET against DB and publish some endpoints (wcf services?) which will returns json/xml data into your android app.
for the moment there is no support for such use case.