I don't think so, there would be such a huge push back from home owners. Families with young children move to Greenbrae for the school district. it would be really hard to have something like that happen. Not to mention that it would also cause a decline in home prices, should they decide to change the school districts around.
That being said, Bacich can become impacted like some of the schools have in Mill Valley, where a family new to the area may end up initially at a different school and be wait listed for the school that their home is actually in. I have had this happen to clients of mine in Mill Valley but their child ended up at their neighborhood school the following year.