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I got a same-day battery swap when my previous MacBook's battery bulged as that one had a removable battery but I had to leave my 2016 MacBook pro with them for a couple of weeks to get the battery replaced.
 
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Reactions: EvilEvil
IF they have the battery
and
IF they have the time
and
IF you drop it off early
then
...they MIGHT be able to get it back to you the same day
but...
... better figure at least "next day pickup" or maybe even "second day".

and one other thing:
BACK IT UP before you take it in.
 
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Reactions: jerryk
No they have to send the swollen battery to the repair center to be fixed due to fire risk. I dropped off mine on Sunday 7/5 and just arrived the repair center last Saturday. They had to ship it with Ground because swollen batteries can't get on flight from what Genius Bar told me.
 
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