Sure you could, just use rock wool and net pots small enough to fit the diameter of the openings.
You can also see their own PDF at
http://www.nutriculture.com/images/stories/pdf/uk propagator booklet.pdf - It has an image example of exactly what you want to do. Germinate seeds as you wish, insert into ph balanced rock wool and put in the net pot. I'm not sure what if any settings the device has but you do not want to over saturate and soak the hell out of a freshly germinated & transplaneted seedling rock wool cube.
You could clone in the rock wool as well as in styrofoam plugs that you insert cuttings into. Depends which route you want to take I suppose. Hope that helped some.