Can big babies/early delivery be passed down genetically?

Stephanie
I was born 5 weeks early and still 6lbs 6oz. And my mother just let me know that my brother and sister were both 3 weeks early, one was 8 and a bit and one over 9 lbs. I'm curious if that means I should be expecting my baby boy a few weeks before his due date or if there's really no correlation.