engrossed vs wrapped

engrossed and wrapped both are adjectives.

Word	Noun	Adjective	Verb	Adverb
engrossed	No	Yes	No	No
wrapped	No	Yes	No	No

As adjectives, engrossed and wrapped are synonyms defined as:

Other synonyms of engrossed include absorbed, captive, enwrapped, intent, rapt.

engrossed (adjective)	wrapped (adjective)
giving or marked by complete attention to	enclosed securely in a covering of paper or the like
written formally in a large clear script, as a deed or other legal document	giving or marked by complete attention to
	covered with or as if with clothes or a wrap or cloak