the people that are our family are the ones that always help us grow. And in some cases, they are the ones who push us and encourage us to grow.

Exactly. That's the essence of having a family.

I think this is the key. If you don't have a emotional connection or bond with someone they are not a part of your family.

Your thought is in line. There must be a somewhat connection between individuals for them to form family.
!HUG
!BBH