If you want to try your hand at an
aeroponic type system, I don't see any reason you shouldn't. Although for peppers and tomato's I personally would go with a
drip system. I have tried a flood and drain system for both of them, but plan to use a drip system for them in the future. Mostly because a drip system is quite efficient, easy to design and build, as well a relatively simple and inexpensive setup. Also large containers like 3 and 5 gallon buckets hold enough
growing medium that I don't need to be to concerned with
pump cycle times. It retains plenty of moisture for the roots, even If I forget to plug the pump back in for some reason (I have done that a lot). I have had plants in 5 gallon buckets using a drip system not get watered at all in 24 hours, and you wouldn't even know it by looking at them.