wrap up vs wrap

wrap up is not a noun while wrap is a noun.

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

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

wrap up (noun)	wrap (noun)
	cloak that is folded or wrapped around a person
	the covering (usually paper or cellophane) in which something is wrapped
	a sandwich in which the filling is rolled up in a soft tortilla

wrap up (verb)	wrap (verb)
clothe, as if for protection from the elements	arrange or fold as a cover or protection
form a cylinder by rolling	enclose or enfold completely with or as if with a covering
finish a task completely	arrange or coil around
arrange or fold as a cover or protection	crash into so as to coil around