I'd say not inherently a trouble maker, I always think of "wise guy" (or even wiseguy, one word) as a cocky and arrogant person who always talks back to people, which could certainly get them in trouble. I find it fairly synonymous with 'smart mouth(ed)' or a 'smart alec/aleck', as in:
Mom: Is there someone at the door?
Son: Does it look like it? (this is a very typical wise guy/smart aleck response)
Mom: Don't be a smart aleck/Don't be a smart mouth/Don't be smart.
However 'wise guy' doesn't sound as modern or used as much as 'smart-mouth' and 'smart aleck'.
Also note: Wiseguy at some point started being associated with the mafia. So you'll sometimes hear (mostly just in movies these days) of mobsters being called 'wiseguys'.
(not a teacher, just a language lover)
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