Don't think so.
Our first Yorkie was around 2 pounds, maybe a dash under at that age, and he ended up being 7 pounds.
My current guy, Ozzie, was 3.3 pounds when we brought him home at 11 weeks. He is now 13.5 pounds, just a little heavier than his normally fit 12 pounds.
We're working on it though now that we have nice weather again!