Green white oak, especially, can do some cool stuff. I imagine you could do a porch with lap built and grain matched construction and get a "tensegrity" bonus as stuff dried; but ive never seen that trick done with anything more complicated or smaller than house siding.
Wouldn't work well at all for any construction that isn't using mortise and tenon or some other type of friction fit construction. Can be disastrous for traditional construction where pieces are butted up together and nailed.
https://en.m.wikipedia.org/wiki/Green_woodworking
Its a shame more of that craft isn't going around. Granted, I'm not sure how a greenwood porch would work.