Is wrapped a noun

No, the Word 'wrapped' is a verb, the past participle, past tense of the verb to wrap. The past participle of the verb also functions as an adjective.

The Word wrap is both a verb and a noun.

The noun 'wrap' is a Word for a covering that winds or folds around something; a loose outer garment or piece of material; a sandwich in which the filling is rolled in a soft bread; a Word for a thing.

Examples:

Her wet hair was wrapped in a towel. (verb)

The wrapped gifts made a colorful display. (adjective)

We can wrap potatoes in foil to cook them in the campfire. (verb)

She wore a brightly colored wrap over her bathing suit. (noun)