Likely yes, but at a cost they wouldn’t want to pay, because it will “burn” their ability to do this in cases they likely deem more important, such as those where lives and state security are directly threatened.
In the US, the NSA likely has enough data to solve 85% of all unsolved crime, and to prove innocence of 95% wrongly accused; but doing so would limit their future abolity to do so (and the ability to do their actual job) so they won’t.
True, I should have added "(statistics that seem right to me that I pulled out of thin air)".
That said, Snowden disclosures and others indicate that if there's an email, voice call, location information or any other digital piece of information, it is accessible to the NSA, not warrants required.
In the US, the NSA likely has enough data to solve 85% of all unsolved crime, and to prove innocence of 95% wrongly accused; but doing so would limit their future abolity to do so (and the ability to do their actual job) so they won’t.