Is my family a noun

No, the term 'my family' is a noun phrase, a group of Words based on a noun that functions as a unit in a sentence.

The noun phrase 'my family' is made up of the noun'family' described by the possessive adjective (pronoun) 'my'.

A noun phrase functions as the subject of a sentence or a clause, and as the object of a verb or a preposition.

Examples of a noun phrase in a sentence:

• My family is from Utah. (subject of the sentence)
• This is the house that my family owns. (subjectof the relative clause)
• You can meet my family at the picnic. (direct object of the verb 'can meet')
• I'm making dinner for my family. (object of the preposition 'for')