Almost, except you don't want to place the camera as close as possible to the subject. To get shallow depth of field on your camera you need to back the camera away from the subject as far as possible, then zoom in all the way to frame them up properly. Unfortunately, this won't be compatible with this....
With any mic you need to get it as close to the subject as possible to get the best sound. If you use something like the videomic mounted on your camera, but then back the camera as far away as possible to get shallow DOF, your sound will be pretty bad.
Sure, it will let you get more of your scene in the frame from any given position - but it will also have the effect of increasing your depth of field... so sort of the opposite of the look you are going for.
Honestly, I'd say forget the shallow depth of field and just shoot normally. Get good sound and steady, well-composed, clear pictures and your audience will focus on the content/subject, which is generally the goal of documentary filmmaking in the first place.