I hope not.
If each race has its own starter area then it would stretch credulity to have
nine different scenarios/backstories where each given race was imprisoned under different circumstances and then released to quest in their own little home area.
But, if there's a single starting area per faction it wouldn't be hard to imagine (if you were a member of the Daggerfall Covenant) to be on a prison ship with a bunch of Orc, Redguard, and Breton criminals, at which point you get shipwrecked, or the boat docks and you're processed and released, etc. And this would be the rational for why you start at the same place, no matter which race you pick within a given faction.