Yes, but not 24/7. How long the system can power the A/C for largely depends on the size of the battery bank. A general rule of thumb is 100Ah of lithium battery will power one A/C for ~45 minutes, but can vary based on weather, RV insulation, A/C size, etc.
Without any additional solar coming in to recharge the battery bank, the 600W System can power a single A/C for approximately 3 hours, making it ideal for cooling off while you’re at a rest stop making lunch on a travel day. The 1000W System can power a single A/C for approximately 6 hours. The 2000W System can power a single A/C for approximately 10 hours.
If you plan to run your RV roof air conditioner off your system, then be sure to let us know so we can add an EasyStart to lessen the start up power load.
If you're looking to power an A/C longer, you can always add more batteries to your system! Just keep in mind no RV (no matter how big) has enough roof space for the amount of solar needed to run a rooftop air conditioner 24 hours a day, day after day.