hey vileoxidation , im not sure what that thing is using for lighting probally sometype of very small floro tube. And you would need some way to measure the ppm of the fertilizers . On top of that it is very small and probally wouldnt have enuff lighting to produce anything.

If you want to do a small stealth grow start in soil (its more forgiving) , Get a three pack of 26watt 6500k "Ge daylight" cfl's light's from walmart for vegg (like $7.50), along with 4-6 26 watt 2700k "Ge soft white" cfl's to add during flower( around $15). Get walmarts expert gardener brand soil ($2.50 for a 10 quart bag) , and a bag of perlite ($2). Mix the soil 75%soil/25%perlite. Also Get walmarts expert gardener all-purpose 28-8-16 fertilizer for veg(like $4), and miracle grow bloom booster fert for flower(like $5). Also get a timer for walmart (like $6)(for the 12/12 cycle). And get one of there small "home trends" desk fans for ventalation there only like $5 bucks. Then go to a nursery/home depot/lowes/ and get either a ph test kit for soil ($10) or a ph probe for soil ($15-20). Or go to a pet store and get a ph test kit for fish tanks. I would say grow 2-3 small plants because you wont know if you have a female plant until you switch to flower. Set this lil setup in some small cabinet and flower when there small (you would get better yield with a longer veg and lst and scrogging the plants), you could do more then this using your diy skills , like make some sorta carbon filter ect. Just a lil advice , I dont think you would be happy with that device. There are many people on here who have had success with cfl's. And it is at least a start into the world of growing.
Try and find an area thats at around 24-36 inches tall , and about 15-20 inches wide and you should do just fine with this little setup.
Hope this helps.