Yes, there are lots of different outdoor hanging chandeliers that are battery operated.
In fact, this is a particularly handy option if you’re looking for an outdoor lighting solution that is fairly flexible rather than permanent, whether that’s because you’re currently renting the house or because you occasionally like to move your seating area around.
If your outdoor hanging chandelier will be exposed to direct sunlight, you could also consider an eco-friendlier solar model, too.