Apparently so. At least in Dragon Age II.
Whenever I'm given the option to play as anything else, I will. I don't know why, maybe I'm secretly an alien out to destroy humanity.
In Oblivion, I'm a High Elf, Dark Elf, or Orc. In Dragon Age, I played an Elf and later a Dwarf. If given the option in Mass Effect, I'd probably play an Asari or Turian. Hell, I even played as a Sangheili in Halo 2 and 3.
It just makes me angry that in DA:O, EVERY human, save Alistair, Duncan, and Leliana, was an asshole. Now, with this defining characteristic in place, I have to play one. It isn't even like the voices for Humans, Elves, and Dwarves were that distinct, anyway. They could have gotten away with one voice for males, one for females, and then choosing your own race.