Putting the posts directly in the ground is generally a bad idea. You can do it using rot resistant or treated posts in areas with well drained soil and deep water table. Even then, I would avoid doing it if you expect the structure to last. Besides rot, there is the potential for termites and/or differential settling causing trouble. It just isn't worth going cheap on the foundation of a house you are going to put that much work and money into.
Anchoring the posts to
concrete pillars or steel piles would be a different story.
With a rubble trench foundation, you would normally put anchor bolts in the bond beam and have the posts terminate on the beam with post bases, etc.