aspire vs overshoot

aspire is not a noun while overshoot is a noun.

Word	Noun	Adjective	Verb	Adverb
aspire	No	No	Yes	No
overshoot	Yes	No	Yes	No

As verbs, overshoot is a hyponym of aspire; that is, overshoot is a word with a more specific, narrower meaning than aspire:

aspire (noun)	overshoot (noun)
	an approach that fails and gives way to another attempt

aspire (verb)	overshoot (verb)
have an ambitious plan or a lofty goal	aim too high
	shoot beyond or over (a target)