Supposedly there is one for the Federation, however:
None of my admirals can get the quest, whether in person or via "hail". I took apart K7 hoping for a "hidden" NPC, finished all available missions on one of the characters thinking there was a requirement... and still nothing!
As I understand it you have to talk to a Commander Modak, something like that. The first mission he gives you is "Salvage Relation in the Neutral Zone" Then I think you have to do another mission, or two, at which point you will get the PvP daily.
I always get my PvP daily quest from Mackenzie Calhoun, but it only ever seemed to refresh every other day instead of every day. This was before I stopped worrying about it entirely because I get credit towards it from my PvP matches.