No, a noun phrase is a noun or a group of words relating to a noun.
The words, 'Mum has...' is a noun and a verb, a clause (a group of words with a subject and a verb that is an incomplete thought).
The subject 'mum' is a noun phrase in itself, or:
'My own mum...' is a noun phrase.
'The other boy's mum...' is a noun phrase.
'The mum with the gold crown...' is a noun phrase.