Meaning
To confront, threaten, or rough someone up aggressively — to act the bully toward them, whether with menacing words or with actual force. To 'bad up' a person is to try to intimidate, push around, or square up to them, throwing your weight about to frighten or dominate. It names the whole show of aggression, from hard talk and posturing to physical roughing-up, and it belongs to the vocabulary of confrontation, badness, and standing over someone by force or threat.
Examples
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Him try fi bad up di likkle youth fi him lunch money.
He tried to bully the little kid out of his lunch money.
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Nuh come bad up mi inna mi own yaad.
Don't come and threaten me in my own home.
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Dem bad up di shopkeepa but him nah back down.
They tried to intimidate the shopkeeper but he wouldn't back down.
Origin
From 'bad' (in the sense of aggressive/menacing) plus 'up' — to come at someone in a 'bad', threatening manner.
How it’s used
To intimidate or manhandle someone; distinct from admiring 'bad' as in 'bad gyal'.