I suspect there's something similar to this already out there, but it could work with the right marketing. I could easily see something like that taking off on Kickstarter with a tagline of "The LED system that's disrupting the home gardening industry". Get buzzfeed or upworthy or some other site to post about it. Give early adopters a discount, and set a funding target of $25k or so. Get some attractive men with mustaches and beards wearing flannel to show themselves trimming off some greens for a locally produced farm to table dinner served to their also attractive glasses wearing friends in their trendy urban apartment while they drink wine at their rustic wooden table. Talk about how you're cutting out the middle man and bringing the products straight to the consumer for a great price, and you're doing it because when you set up your first indoor garden you had such a hard time finding all of the components, and having it in one system would make it so much better.
This may sound like sarcasm, but it's something I could actually see working. People love buying things through kickstarter that they would never buy at a store, especially if it's "disruptive" or "revolutionary", even if the components are available cheaper in numerous other places that don't advertise much. Make it a sleek fully supported system instead of components, and it could work, and make it small enough that you can sell it for <$100 and make a profit (even if it just grows a few micro greens).
A Japanese/western hybrid chef's knife called the Misen recently raised over $1,000,000 compared to its I think $50k target, largely due to Serious Eats publicizing it. There are numerous similar knives available at similar price points (arguably equal/better products), but they made it simple and sleek and easy, one knife, no choosing sizes or comparing metals, and really sold the whole "it's just a few guys making this thing for you" feel even though they're having it manufactured in China and don't have any experience with large scale manufacturing.
This is how you do it:
https://www.kickstarter.com/projects/misenkitchen/misen-cook-sharp