But only against unreasonable searchs and seizures. I really need to read this opinion, but it seems hard to find a strong privacy right in the 4th amendment alone. The 9th (10th speaks of powers not rights) would be a better place to find a right of privacy, but to do that you'd have to find that such a right was commonly accepted when the 9th amendment was ratified, and that might be hard to do.
Personally I think I have the right to manufacture and keep a machine gun, grenades and maybe some claymore type mines, in the privacy of my basement or garage, under both the second and ninth amendments, but you can be sure the BATFE, Congress, the rest of the Executive Branch, and the Courts, have other ideas.