That statement ended up proving to be quite ironic: https://en.wikipedia.org/wiki/Pope_John_Paul_II#Role_in_the_...

NSA employees go home at night. They are subject to arrest when they do, if the courts need to go that far.

Technically, it's possible. Practically, I think it's extremely unlikely that a law enforcement officers will request, and that a judge will approve warrants to arrest individual members of the security services, and that those members won't just mysteriously get out of jail a few hours later, and that a politician won't figure out a way to BandAid the inconvenience within weeks.

How would you know who they are? I think their govt IDs identify them as DoD employees, not specifically NSA.