Can I get this kind of DOF out of the 35mm 1.8 DX???

Couple of things...

A LOT of people on this thread are confused about DOF and Bokeh, DoF is pretty clearly defined, the nice element of the OP posted photo is the background blur not the DOF. Also at play is that wide angle lenses focus to infinty closer so this is the whole "subject to background" element at play

The *quality* of the blur.. Bokeh is massively dependent exactly on what the above post says, the aperture. NOT the F number, the F stop is just the size proportion to focal length. The actual aperture INCREASES in size for longer lenses and the larger hole will enlarge the blurred spots (contrast areas) in the background making them larger and softer on longer lenses. When they become harsh and small enough (on shorter focal lengths or smaller apertures) you actually make out objects in background. In addition the shape of the aperture (ie #of blades and shape) will dictate the shape and quality of the out of focus spots.

Very easy test, compare a similarly framed picture of a light that is completely out of focus in the background on a couple of lenses and it helps understand for those who don't.

As to the OP....

I have had a 35/1.8 DX and no... there is no way it can take that picture. Even if you achieve comparable DOF, and subject to background relationship such that the lens isnt focused to infinity, the bokeh from that lens is just horrible.... I returned it in under a week.