I would challenge anyone to find an equally explicit statement in the Constitution that guarantees a right that is equivalent to the so-called "right to privacy."
That's the procedural due process half of the right to privacy, as for whether the substantive due process half is also found in the constitution depends to some extent on one's interpretation of the fifth, ninth, and fourteenth amendments as to whether they add substantive due process. Given the wording of the ninth, I'd say that those who would argue against substantive due process need to show cause why it does not exist.