Originally Posted by Veridical Fiction

Apparently not according to everyone I've ever met who's commented on the fact.

After being in the military, I've met A LOT of different people from different places. When asked where I'm from and they find out I'm from Louisiana, they always remark that I don't have the accent and in fact don't have one at all.
I speak extremely flat.
If that's an accent, then it's new to me.

EDIT:
I'm talking about American English, btw.
Although I'm no professor about it... So the above is merely deductive reasoning.