mess vs mess up

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

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

As verbs, mess and mess up are synonyms defined as:

mess (noun)	mess up (noun)
a (large) military dining room where service personnel eat or relax
a meal eaten in a mess hall by service personnel
soft semiliquid food
(often followed by `of') a large number or amount or extent
a state of confusion and disorderliness
informal terms for a difficult situation

mess (verb)	mess up (verb)
make a mess of or create disorder in	make a mess of or create disorder in
eat in a mess hall	disturb the smoothness of
	make a mess of, destroy or ruin