growing pains vs hurting

growing pains and hurting both are nouns.

Word	Noun	Adjective	Verb	Adverb
growing pains	Yes	No	No	No
hurting	Yes	No	No	No

As nouns, hurting is a hypernym of growing pains; that is, hurting is a word with a broader meaning than growing pains:

growing pains: pain in muscles or joints sometimes experienced by children and often attributed to rapid growth
hurting: a symptom of some physical hurt or disorder

Other hypernyms of growing pains include pain.

growing pains (noun)	hurting (noun)
problems that arise in enlarging an enterprise (especially in the early stages)	a symptom of some physical hurt or disorder
emotional distress arising during adolescence
pain in muscles or joints sometimes experienced by children and often attributed to rapid growth