luck through vs chance

luck through is not a noun while chance is a noun.

Word	Noun	Adjective	Verb	Adverb
luck through	No	No	Yes	No
chance	Yes	Yes	Yes	No

As verbs, chance is a hypernym of luck through; that is, chance is a word with a broader meaning than luck through:

Other hypernyms of luck through include adventure, gamble, hazard, risk, run a risk, take a chance, take chances.

luck through (noun)	chance (noun)
	a risk involving danger
	a measure of how likely it is that some event will occur; a number expressing the ratio of favorable cases to the whole number of cases possible
	an unknown and unpredictable phenomenon that causes an event to result one way rather than another
	a possibility due to a favorable combination of circumstances
	the possibility of future success

luck through (adjective)	chance (adjective)
	occurring or appearing or singled out by chance

luck through (verb)	chance (verb)
act by relying on one's luck	come upon, as if by accident; meet with
	take a risk in the hope of a favorable outcome
	be the case by chance