Green’s Dictionary of Slang

1. (Aus.) to praise, to flatter.

1941		Williamstown Chron. (Vic.) 15 Mar. 2/3: Well, Harry, I have ‘wrapped you up’— pardon the Bill Lang (slang).
1967		‘Whisper All Aussie Dict.’ in Kings Cross Whisper (Sydney) xliii 11/3: wrap up: To praise a person is to give him a wrap. If you can’t wrap a bloke don’t roast him.
1973		Sun (Sydney) 1 May 78: Last week I wrapped him over his display of whistle blowing in the Easts-Manly game. This was virtually the ‘kiss of death’. Anytime referees get a wrap they seem to get banished to the suburbs [GAW4].

2. (N.Z. prison) to convict on the basis of faked evidence.

2001

D. Looser Boobslang [U. Canterbury D.Phil. thesis] 204/2: wrap up v. 1 to secure a conviction using fabricated evidence .

3. (N.Z. prison) to murder.

2001

D. Looser Boobslang [U. Canterbury D.Phil. thesis] 204/2: wrap up v. 2 (wrap (someone) up) to kill someone.

4. (US) to wear a condom.

2012

M. Lacher On the Bro’d 248: ‘I heard you’ve got like a shitload of kids [...] Why the shit didn’t you wrap it up?’.