When I was growing up, a man down the hill a few houses from us did this. We could sit on our back porch and see the back of his house. He dug down and made a ramp, and one wheel barrow at a time he shoveled by hand out under the house, and ran with the WB to the back of the yard and dumped it, and ran back to the basement and continued digging. When he was done, which took three or four years, he build a wall inside of the existing foundation and poured a floor.
More recently, a guy at work lived in a smallish, rectangular house on a large lake, the back of the house faced the lake and a down slope and was on a crawlspace. He put several I beams under the house, sorta like house movers do, and used hydraulic jacks to raise the house. He would round up all the neighbors to each operate a jack and then spend the rest of the week shoring up the beams, repositioning the jacks and the next weekend would raise the house another few inches. Along the way he put down rows of concrete block as he went, and extended the water and sewer lines. He and his family lived in the house the whole time this went on! Finally it was done, floor poured, central piers installed, plumbing finished, I beams removed and new porches built with permanent stairs, and he was done. This took a couple of years of all of his spare time.
Charles