ive had people try in an aerogarden and they had some problems, maybe dont use the foam b/c theirs got all moldy...maybe some other medium? also you'll need a bigger light, you want around 5,000 lumens per square foot. the water res is also pretty small, you'll have to stay on top of that. as far as your ferts are concerned they should do just fine.
you'll want to watch ph levels, 5.5-6.5 is recommended.
keep the plants as small as possible and flower them early, the areogarden is not big enough to grow big plants, but im sure you can get something.
good luck