Probably not a good idea with soil, due to excessive moisture. Probably get a lot of fungus growth, like molds. Any medium with organic material in it pretty much has to go through a wet/dry cycle, or at least wet/less wet. I tried a thing where I had the solution constantly wicking from a small container on top of the medium with paper towel, so similar to constant drip but using a wick instead of a dripper. It got a bunch of mold growing on it within a few days so I had to go back to daily watering, which was fine because the medium was mostly perlite, the organic material being the built up bits of dead roots from prior crops.
I pull out the root clods and reuse the medium, which eventually becomes a lot like a peat/perlite mix but using dead roots instead of peat. It actually works a lot better than pure perlite because it holds more water. I don't even empty the containers, just mix the medium around and pick out the clods. It's like "turning" garden soil. Weed roots make a very good grow medium with perlite actually, and it's free. I do leave the containers of medium sitting covered for a few weeks between crops, for the roots to decompose somewhat. They break up easier that way.