The fourth amendment is already what you're asking for.

Unfortunately, it was worded to address the privacy concerns of the time and the Supreme Court over the years has watered it down significantly, not the least of which has been to allow the warrantless purchase of personal information from corporations who collect it from their customers, regardless of their consent or knowledge.

Notwithstanding whether there's a chance at being ratified, we could update the fourth amendment to modernize it and counter bad Supreme Court rulings as well, but I'm afraid it's going to have to be a repeated process of touching it up from time to time in the face of bad actors in government who want to chip away at its protections.