There's nothing wrong with experimentation, but this is a little far fetched. You're going to need to see the plants in order to know what they need. Do you plan to dig the box up every time you wish to check on them? You have to be able to accurately check pH, humidity, temperature, signs of pests, among MANY other variables frequently in order to have a successful indoor-style harvest.

On top of all that, it'll look just a wee bit suspicious having a bunch of electrical cords, ventilation ducts, etc., running into a freshly dug hole in your yard. There are much easier ways to go about it. In this hobby, you don't want to make upkeep any more difficult than you absolutely have to. If this is too much, you should just consider an outdoor grow.