Jaime and Diana have met. It was in the Titans of Tomorrow (or something like that) story line and she was a total bitch to him. I can't find scans but basically Jaime saved their butts by beating up future!bart!flash. The exhchange went something like this:
Supes: Thanks for the help kid. Jaime: I wasn't going to let that punk beat me Diana: I think you mean "you're welcome" Supes: Diana be nice Diana: No Jaime: :(