Trying to help the OP, and ignoring the whole charging on idle question, which I honestly think at 6 months in the garage is probably irrelevant...
It's possible you can jump it with a portable jumper, but if it's truly dead, then it's likely too dead to jump. AAA and most road service companies usually have commercial versions of those units, but they're probably not going to be happy to hump them from the highest floor they can get to to the third floor where they're needed. They also have air pumps or compressed air tanks. Unless the OP has friends with both of those, buying them for a one time use would be kind of expensive. And I'm assuming there are no available outlets near where the car is parked. If there are, get a CTEK conditioner and a cheap air pump, leave the battery on the CTEK overnight (it'll give you error message in an hour or two if the battery isn't going to charge), pump up the tire, and you're golden. And if you're going to leave the care unused for any period of time, you should probably have both. If there are no outlets for a charger/conditioner, then honestly you have the wrong garage for long term storage.
Otherwise, can you get the battery out of the car? With help if needed? If it's been sitting for 6 months, depending on the age of the battery when this started, it wouldn't surprise me if the battery is toast anyway. Might not be. Maybe not the simplest thing to do, but if you can't get service to the battery, get the battery to service. Have the battery checked out, and if it's still good, have it charged over night on a battery charger, put it back in the car, and have a go at it. If the battery doesn't check out, replace the battery, and go back to have it registered. A new battery will get you out of the garage. And as stated, 20 psi should let you drive slowly to air the tire, then get somewhere to check the tire out as well.
Whether or not the battery will charge at idle (I don't think it will to any significant degree, BTW) is a distraction. I have no idea how long it would take for that, IF you can even get the battery to jump start anyway.
BTW, unlike ard, I'm assuming from the original post that the OP can't start the car...
My $0.02 contribution.