disorder vs mess up

disorder is a noun but mess up is not a noun.

Word	Noun	Adjective	Verb	Adverb
disorder	Yes	No	Yes	No
mess up	No	No	Yes	No

As verbs, mess up is a hyponym of disorder; that is, mess up is a word with a more specific, narrower meaning than disorder:

disorder (noun)	mess up (noun)
a disturbance of the peace or of public order
a condition in which things are not in their expected places
a physical condition in which there is a disturbance of normal functioning

disorder (verb)	mess up (verb)
bring disorder to	make a mess of or create disorder in
disturb in mind or make uneasy or cause to be worried or alarmed	disturb the smoothness of
	make a mess of, destroy or ruin