naa, you can seriously do this, but you also have to give the plants enough natural fertilizer to sustain and grow them.
Of course, you will need a tank, some strong lighting, some pieces of live rock. You can try to get some mangroves to put in there. Something else you can keep in your fuge is cleaner clams and feather dusters. They're neat.
try some halimeda, blade plant, shaving brush and mangroves. This will give your tank structure while letting you see all of the life.
If you are going to do this, you need to also have a separate tank with some fish in it. It doesn't have to be very many at all, the plants need something to feed them, and will balance out the system. It's better then trying to dose it with miracle grow.