Does the Right to Privacy Protect Us from Government Surveillance?

In the past five decades, the U.S. Supreme Court has also determined that the Constitution's Fourteenth Amendment protects a personal right to privacy that is even broader than that which is guaranteed by the Fourth Amendment. Could this concept of a right to privacy potentially be used to exclude government surveillance programs that might also pass constitutional muster? It isn't clear, and in any case the right to privacy is unlikely to be expanded any further by the current Supreme Court than it already is.