It is in the Bill of Rights, article four.
The right of the people to be secure in their persons, houses, papers, and effects, against unreasonable searches and seizures, shall not be violated, and no Warrants shall issue, but upon probable cause, supported by Oath or affirmation, and particularly describing the place to be searched, and the persons or things to be seized.Shalom b'shem Yah'shua
Yes, but you cannot use that to justify private acts on the basis that they are private alone. This is simply the right to due process.