Can large airliners be operated without ground support? I'm wondering if large A3x0/B7x7 airliners could be operated without ground support. Short of using the inflatable slides, I guess at least stairs would be required to load/unload passengers. Apart from that, assuming fuel and push-back is not required, would it be possible to land, switch the engines and systems off and then take-off again without electrical, A/C, etc. ground support?

Bonus question: 

If possible, are there any circumstances where this is routinely/occasionally done? I know that it's definitely the case for smaller aircraft such as an ATR 72 servicing remote airports - I experienced that at e.g. Luang Prabang airport.
There's a good example which is the A319 LR which flies scientists down to Antartica. They utilize (very) little ground support, except for the stairs (they seem to have inbuilt ones in the front as well, although these are not used on site) and the trucks to offload the cargo. APU provides the power on the ground, and the aircraft has sufficient juice in the tanks to make the round trip without refuelling.


(source: smh.com.au)  

You can read up on it here. She does weekly flights from Hobart to Wilkins aerodrome in Summer. 4 hours and 30 minutes of flying right into the uninhabited :)