Green’s Dictionary of Slang

(US) subject to intensified emotions, under the influence of drink or drugs.

2005		Urban Dict. 2 Aug. 🌐 Damn, I am all turnt on! or I am getting Turnt to night at the club!
2016		C. Eble (ed.) UNC-CH Campus Sl. Spring 2016 10: TURNT — extremely excited or fun: ‘That club is always turnt’ Also LIT. Drunk: ‘There was so much beer yesterday that the whole frat was turnt’ .
2016		languagejones.com 15 June 🌐 Turnt (up) How the white mainstream uses it: to get crazy, likely at a party or social gathering, and more than likely under the influence of drugs and alcohol. [...] How it's used in AAE: turned, the past participle of to turn. There is the metaphorical meaning of ‘wild and crazy’ as in to turn up but turnt not a special word for it distinct from turned.