Not only possible, but probably pretty easy.
First of all, keeping a desktop sized tank of brine shrimp isn't as impossible as the others seem to think. I did an experiment with brine shrimp to see if I could raise them naturally in a 1-gallon tank at home in high enough densities to feed them to my fish. I wanted fully grown brine shrimp though, not baby brine shrimp, which you just have to hatch. Anyway, to make a long story short, without filtration and in just a clear acrylic box, they survive fine on their own in the kitchen window at full strength saltwater. I just periodically scrape the algae off the acrylic and mix it in with the water. I also try to stir up the algae that has settled to the bottom once a day, since they are filter feeders. The experiment was a failure though, in that while they survive fine, they only survive in a density proportionate to the amount of food available, which in this case is not enough to feed my fish.
If I were going to do it away from direct sunlight, that would make it necessary to use the micro foods that you can buy from petwarehouse.com. They come in little tubes with a tiny spoon and you just mix it in with the water once a day or so. I am guessing that since you wouldn't want your water to be the brownish color the food makes it, you would probably want to change a little bit of the water each day, or once a week.
Last edited by Aphyosemion; 10-19-2004 at 11:40 PM.