vilasman, i don't think you could get somwthing like asparagus from an aerogarden. i'm not sure if that was your intention in your post. but it does give me a chance to talk about food.
it's not that difficult to grow asparagus in a garden or raised bed, or (i've heard) even a wide, 25 gallon bucket, but it takes time and patience. all you need is extremely rich but somewhat akaline (pH 6.5), well drained soil and a dormant crown. the soil is the key, keeping it from getting compacted in clay environs. even average soil usually needs sand added to it for asparagus. you also have to let the plant develop into ferns the first 2 years, to build energy into the roots for future harvest.
bury the crown about a 8 to 10 inches deep, and in the spring you'll get the shoots coming up through the soil. once established after a coupla years, snip away as you see the spears come up. they go from fresh, young asparagus to wood in no time, so don't be shy. after a few early harvests, let some of the spears go to form a bush or fern again. you'll eventually learn what you can take.
if you want to get fancy and harvest white asparagus, build a box out of a 2x6's and plywood, making sure it's light tight, and place it over the area where the crowns shoot up. i did this one year, and it works great. but it's dangerous as you can kill off your crowns if you're not careful to let them get light and grow to ferns with the last several shoots. the crowns need some energy to last another year.
i fondly remember a spring not too many years ago when i thrilled my mil by going out to the garden on easter morning and coming in with a load of asparagus and a tiny bouquet of crocus. freshly snipped asparagus has an unbelievably bright, green, and nutty flavor that is lost within hours of harvest, much like heirloom corn.
ok, back to aerogardens.