Nope, PLD and WAR have the exact same accuracy. Thing is you don't need Acc for most things in game until you get to the end most stuff like Garuda where it really is necessary and matters the most.
EDIT: Just to follow up they did change it where you CAN miss on Ifrit and Moogle now. I don't know if it's old news or not because it's been about four months since my shell has really done either, but I thought I'd bring it up.