Yes it can. Typically you need at least a 2500 watt inverter (to be able to start the compressor). If the A/C pulls 1650 watts at 120vac, then at 12v it will be pulling 137 amps. Figure 85% effeciency and you're looking at closer to 160amp draw. If you consider a typical size 8D deep cycle at 220 amp hours and figuring you don't want to run the batteries down beyond 50% (for maximum battery life), you'll need 12 batteries for 8 hours. Or the math- 12 batteries times 220= 2640. Divide that by half for 50% discharge and you have 1320 amp hours. Divide 1320 by 160 amps per hour and you have 8.25 hours. Considering that 12 8D's (150lb each) will weigh 1800lb, in my opinion, it is better just to run the generator, and use just two 8D's for your miscellaneous lighting and lite duty inverter work. I believe the inverter should be considered a second power source for things like coffee maker, microwave, TV, Stereo, DVD, small heater,etc. Bigger loads like the A/C (which is the biggest loads) should be taken care of by the generator. Good Luck, TomC