I have a Nikon D7000 and the DX 35mm f/1.8 and the Kenko extension tubes. Technically the answer to your question is 'yes', but practically the answer is 'no'.
The problem lies with the distance of the camera lens to the subject. The 35mm lens makes it so that your lens is practically in contact with your subject-this will throw shadows, reduce your in-focus area to almost zero (a tiny fraction of an inch), and greatly magnify movement (yours and that of the subject.)
I prefer my 105mm macro lens with the extension tubes because it gives more breathing room between you and your subject (I like to shoot bees and wasps), and it increases the depth of the in-focus area.
Experiment with your rig, use a tripod along with a cable release, the little electronic Nikon ML-L3 release, or the camera's self-timer. Use an off-camera flash if you have one, or off camera lighting. Most of all take your time and have fun doing it.