wrap vs cloak

wrap and cloak both are nouns.

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

As nouns, cloak is a hypernym of wrap; that is, cloak is a word with a broader meaning than wrap:

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

wrap (verb)	cloak (verb)
arrange or fold as a cover or protection	cover with or as if with a cloak
enclose or enfold completely with or as if with a covering	cover as if with clothing
arrange or coil around	hide under a false appearance
crash into so as to coil around