have the distinction vs distinction

have the distinction is not a noun while distinction is a noun.

Word	Noun	Adjective	Verb	Adverb
have the distinction	No	No	Yes	No
distinction	Yes	No	No	No

have the distinction (noun)	distinction (noun)
	a distinguishing difference between similar things or people
	a discrimination between things as different and distinct on the basis of their characteristics or attributes
	an honor awarded to someone in recognition of achievement or superiority
	high status importance owing to marked superiority

have the distinction (verb)	distinction (verb)
be distinguished from others of a similar type by virtue of a notable characteristic