life history vs life story

life history and life story both are nouns.

Word	Noun	Adjective	Verb	Adverb
life history	Yes	No	No	No
life story	Yes	No	No	No

As nouns, life history and life story are synonyms defined as:

life history and life story: an account of the series of events making up a person's life

Other synonyms of life history include biography, life.

life history (noun)	life story (noun)
the general progression of your working or professional life	an account of the series of events making up a person's life
an account of the series of events making up a person's life