Right-click them (or their name in the chat box), select "Challenge player". Select your map, and go. (Of course, the other person has to accept the challenge first.)
There is this.. And you if your opponent is KDF Aligned and you are Fed Aligned, you can go to Ker'rat and request a 1v1 over Cracked Planet. How ever do beaware that Ker'rat is an OPEN PVP zone. And it is up to the rest of the players in the zone to decide weither or not to get involved.
You think that your beta test was bad?
Think about this: American Football has been in open beta for 144 years. ~Kotaku
1 vs 1 in this game has big amounts of BS.Maybe in the past escort vs escort was fine way to have fun but they screwed it with placate so that is no longer fun.If you find something fun for 1v1 (other than sex ) don't post it here or they will make a rep thing just to screw it for you.