No, she has no desire at the moment. I had thought of making her wait until she was 12 should she ask but since she's now 12, I guess I won't get to tell her not yet.
I think that it depends on the child and how well you think that they will take care of their ears and their earrings. I know that my daughter, had she wanted her ears pierced, would have been wanting to change them out each day and would have had trouble keeping up with the earrings. So everything has worked out in my situation.
I've never had my ears pierced nor ever had the desire. I'm not a jewelry person and the only piece of jewelry I wear is my wedding ring and an occasional pin.