blow vs mess up

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

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

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

blow (noun)	mess up (noun)
a powerful stroke with the fist or a weapon
forceful exhalation through the nose or mouth
street names for cocaine
an impact (as from a collision)
an unpleasant or disappointing surprise
an unfortunate happening that hinders or impedes; something that is thwarting or frustrating
a strong current of air

blow (verb)	mess up (verb)
exhale hard	make a mess of or create disorder in
free of obstruction by blowing air through	disturb the smoothness of
melt, break, or become otherwise unusable	make a mess of, destroy or ruin
burst suddenly
shape by blowing
show off
cause to be revealed and jeopardized
allow to regain its breath
deposit eggs (of insects)
be in motion due to some air or water current
cause to move by means of an air current
leave; informal or rude
cause air to go in, on, or through
spout moist air from the blowhole
play or sound a wind instrument
make a sound as if blown
sound by having air expelled through a tube
provide sexual gratification through oral stimulation
spend lavishly or wastefully on
spend thoughtlessly; throw away
make a mess of, destroy or ruin
be inadequate or objectionable
be blowing or storming