There was an episode of DS9 where a Pagh Wraith coerced O'Brien into rigging a chroniton beam with the aim of killing the Prophets. He managed to turn it on the Pagh Wraith (which are the same species) and it seemed to do the job.
Since chronitons are Star Trek's generic time travel plot device radiation particles, I'd guess that yes, it works killing them at all points in time simultaneously.
* Bureau 13 was actually the Babylon 5 version of Section 31. They only ever used them in one story because it turned out the name also had been taken by, IIRC, an X-files ripoff RPG about fighting alien infiltrators or something along those lines.
I still really love Pike's "...what" expression at Spock's smile, and then getting cut o ff and snarked at by the crew when he's trying to give a dramatic speech. He's such a great foil for the cast to bounce off