For the standard Haar-based Viola-Jones detector, all the parameters needed for it to say "yes" to a detection are known ahead of time if the detector is already trained.
They consist of adding and subtracting different rectangles within the image and comparing the sum to a pre-defined threshold (this is called a "weak classifier" in this context). This is done for ~30-50 different weak classifiers and if all of them pass, then a face is declared there.
Therefore, it should be relatively easy to find a set of rectangles that would satisfy these conditions.
My guess, from having worked with face detectors for quite a while, is that it wouldn't be nearly as cool as what painters do -- the false detections would be more mundanely like faces, or so completely off-the-wall if they happen to be a pathological case.