achievability vs possibility

achievability and possibility both are nouns.

Word	Noun	Adjective	Verb	Adverb
achievability	Yes	No	No	No
possibility	Yes	No	No	No

As nouns, possibility is a hypernym of achievability; that is, possibility is a word with a broader meaning than achievability:

Other hypernyms of achievability include possibleness.

achievability (noun)	possibility (noun)
the state of being achievable	a tentative insight into the natural world; a concept that is not yet verified but that if true would explain certain facts or phenomena
	a possible alternative
	a future prospect or potential
	capability of existing or happening or being true