Family history📋

I don't know if this will affect me or not so I might as well ask. My mother & grandmother both delivered 2 weeks early. My mom delivered 2 weeks early with my sister & I & grandmother 2 weeks early with my mother. My mom aunt sister & I all weighed 6 pounds & however many ounces at birth, the doctors say my baby will be small considering mine & my fiancés size, Would I be more probed to deliver 2 weeks early too?