This can be done, We do it here.

You do need to consider a couple of things.

Can you backfill before the floor joists go on?
What kind of water pressure will be on the foundation during the winter and will that effect it.

From excavation to finished foundation ready to start framing should take three weeks max., weather permitting. The cost and bother of ensuring your footings don't freeze over the winter months more than offsets any benefit from the "jumpstart".

I've built right through the winter several times, but only because the house was sold, not to just let a foundation sit till spring.

Wait. It's just as worthy said ... not really beneficial. Beside you never know what things may change between fall and springs. Better to wait.

We are in a very cold climate....northern Michigan, north of the 45th parallel. We broke ground October 26th of last year and poured the foundation in November. Framing continued through til February and so on.... Roof went on no problem. They had to stop one day due to temps in the single digits...but kept going. I say go for it!