introvert vs draw in

introvert is a noun but draw in is not a noun.

Word	Noun	Adjective	Verb	Adverb
introvert	Yes	No	Yes	No
draw in	No	No	Yes	No

As verbs, draw in is a hypernym of introvert; that is, draw in is a word with a broader meaning than introvert:

Other hypernyms of introvert include retract.

introvert (noun)	draw in (noun)
(psychology) a person who tends to shrink from social contacts and to become preoccupied with their own thoughts

introvert (verb)	draw in (verb)
turn inside	direct toward itself or oneself by means of some psychological power or physical attributes
fold inwards	draw in as if by suction
	pull inward or towards a center
	of trains; move into (a station)
	advance or converge on
	shape one's body into a curl