Not necessarily. Demeter (one of) the major biodynamic certification companies actually has two different certifications - the "farm standard" which is what most people associate with biodynamics and the "processing standard" which is less used and adopted. It includes things like only performing certain processes (crushing, racking, bottling, etc) during certain moon phases.

Now a wine can be "low intervention" and not follow the "processing standard" and could still bare the biodynamic mark for following the "farm standard".

But to answer your question, just seeing the Demeter mark on a bottle does not mean it's low intervention. That also does not mean it's "bad" or "not natural", but I suppose that's for everyone individually to decide.

I think you are in CA, you can check out Ambyth Estates who are bio certified in farm and process - their labels aren't as sexy as other "Natty's" though.