There is no explicit right to privacy.
BECAUSE, that word privacy, has multiple meanings, and all of them are vague.
The law does not like vague definitions. That's why it gives us more explicit ones.
My first answer to your question, would be a question - "what do you mean by privacy?"
Because for instance, the law says it's illegal to wiretap a telephone land line (presumably for reasons of privacy), but it's perfectly okay for anyone to use a sniffer to read the airwaves and decode your cell phone communications.
Land lines are private, but cell phones are not. Why is that?
Anyway, I'm guessing you're asking because of abortion, and in that particular interpretation of privacy, I'm on your side. You own your body. (That's my libertarian side speaking - privacy based in property rights).