Yes. Short of the AC a toaster and a hair dryer all on at the same time you should be fine. As a rule of thumb don't use any heating type electronical items while the AC is on. If your AC has a low voltage indiactor on it watch it, if it dosen't consider getting a plug in voltmeter, and if it comes on the first thing I would shed would be to put the refigerator on gas.
WBCCI 12156 AIR 3144 WACHUNG TAC NJ6
2004 Excursion 4x4
1991 34 ft. Excella +220,000 miles, new laminated flooring, new upholstery, new 3200 lbs axles