it is possible
Last name is the name of the family-father's last name, or mother's last name. First name is the name given to certain member's of the family. For example: John Smith. Smith is the name of the family (father's family or mother's family). John is a specific member of the Smith family.
Because your last name, being your family name, is considered to be of major importance. You are only one member of your family. It is your monogram, and not your family's, but still you are a member of that family.
Not if the same last name
Elijah's last name from The Vampire Diaries is Mikaelson. He is a member of the powerful Original vampire family on the show.
The name of the chlorine family member is a halogen.
Thorium (Th) is a member of the actinoids family.
Your first name is the name given to you at birth most likely by your parents (the name that close friends and family would call you by). Your last name is your family name, the last name of your parents (unless you chance it though marriage).
Curium is a member of the actinoids family.
Plutonium is a member of the actinoids family.
Ununpentium is a member of the transactinoids family.
Dubnium is a member of the transactinoids family.
The family name for nobelium is the actinide family.