Here in Southern California, I don't experience frost. Having said that, my medium sized, in-ground, pomegranate tree loses all its leaves during winter. I have a small potted pomegranate kept outside, and it has a late flower. I doubt it will keep the fruit even if pollinated.
If you keep your tree inside, it might be different though. It may keep the fruit if pollinated.
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1 Fuerte Avocado, 1 Wash Navel Orange, 1 Wonderful Pomegranate, 1 Moro Orange, 1 Lime?