Larian said they were planning to voice it, but it's still not clear to what extent.
The challenge with a FULLY voiced MC is that you are going to have several permutations of it in a game like this one.
Each one of the "Origin" characters (which are supposed to be AT LEAST five confirmed, possibly more according to the rumors), the four "generic MC voices" currently included in this build and then there was already people asking for more diverse voices on top of those.
Basically it would be an amount of work (and more importantly cost) comparable to do a full "Commander Shepard" in a (bigger) Mass Effect game AND voice it in ten-to-twelve variations at least.
I'm not going to say that it's "Impossible", but I would be pretty damn impressed if they actually manage to do it.
