Meaning
To take a stroll / to go for a wander
Example
Bora dar uma banda no parque?
Shall we take a stroll in the park?
Origin
In gaucho speech (and older Portuguese more generally) banda meant 'side, region, direction' — preserved in fixed phrases like de banda a banda.
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More idioms
Acertar na moscaTo guess correctly / To hit the nail on the headAmigo da onçaA fake/false friendAndar na linhaTo toe the line / To behave properlyArmar um barracoTo cause a public sceneRodar a baianaTo cause a public scene / To go ballisticArrumar sarna pra se coçarTo ask for troubleArrastar as asasTo hit on someone / To flirtAbrir o jogoTo come clean / To open upArregaçar as mangasTo roll up one's sleeves / To get to workAgarrar com unhas e dentesTo hold on for dear life / To seize an opportunity