Nope. The data is gathered mass surveillance style. They are supposed to have a warrant to search through it, but guess what?government needs a warrant so they can gather your data

Court Ruling Shows How FBI Abused NSA Mass Surveillance
In a declassified ruling, a federal FISA judged showed how the FBI abused its access to the NSA’s warrantless mass surveillance data.

While the law requires that FBI searches of such data be related to investigations in which agents have reasonable suspicion that crimes are occurring or in which national security is at risk, assessments provide an enormous loophole that potentially allows agents to search through the communications of any American without a warrant.