I'm not sure why anyone would want to grow hardy kiwis in Southern California when you can grow better tasting regular kiwis.
That said, I think it is likely they can probably grow.
But keep in mind all kiwis can have a lot of difficultly growing in hot dry conditions. You might want to plant in partial shade, in a spot where the wind is less likely to blow away all the humidity, and keep it consistently watered. Southern California has a different heat level than the climate that you're used to, and you will likely have to adjust everything you know and adopt different gardening practices.