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There are some examples in PFS scenarios of using bluff to disguise spells casting as "singing and dancing," though as others have said it's not technically 'in the rules.'
Unless you're in PFS your GM can just make up a simple system for it though. Bluff, Sleight of Hand, maybe even disguise are skills that could be useful, depending on how you're trying to do it. Silent/still spell metamagic feats and eschew materials may also prove useful.
I think arcane tricksters get an ability to hide spellcasting a few times per day.
There's a feat called Spellsong that lets bards hide their spells with a perform check. Another feat called Secret Signs lets you hide the somatic components of a spell with sleight of hand.
edit- you could also simply turn invisible and use silent spell.
Casting an offensive spell is still an attack and would break the invisibility I believe.