Yet, it's natural, isn't it. People marry and move into different families. People may have employment opportunities far away from the family. Doesn't Jesus pull his apostles away from their families? Yes, a wife and children may have accompanied Jesus, but this insular group left their bigger clan to follow Jesus.
Yes, Jesus asked His followers to leave behind all earthly attachments and follow Him. He's asking us to do the same now. Don't become attached to people and certainly not to material things. You can't bring anyone or anything with you, when you die.