There is no right of privacy in the U.S. Constitution, at least there wasn’t until 1965, when the Supreme Court famously found one in “penumbras, formed by emanations” from the Bill of Rights. It wasn’t a unanimous decision. “With all deference, I can find no such general right of privacy in the Bill of Rights, in any other part of the Constitution, or in any case ever before decided by this Court,” wrote one of the dissenting justices.
However, there is an explicit right to be free from uncontrolled government searches.