No, PvP isn't implemented yet. They said they'd release around a week~ after launch. Also, cocacobra, I must say, if you decided not to buy the game due to the hate here, you're missing out huge time. Have 50 hours~ along with my group of friends I play with and we hardly ever get off.
I wouldn't be suprised if we were one of the first people to beat normal mode on US servers, we all skipped and put alarm clocks on at launch time and didn't stop until we beat.