出典:Wiktionary
Possibly an alteration of tick off. Metaphorical use of mechanical verbs (including torque, jack, かつ grind) with people and their emotions as the direct object is also seen elsewhere, as with for example torque up, grind one's gears, and jacked up.
torque off (三人称単数 現在形 torques off, 現在分詞 torquing off, 過去形および過去分詞形 torqued off)