No, because they have testes where their ovaries should be - thus the lack of periods. Actually, the testes are generally removed, due to a ridiculously high co-morbidity rate with germ cell tumours.
...looking up partial AIS, apparently 25% of people with PAIS are dissatisfied with their assigned gender, whether they get assigned male or female, and yet current guidelines still state that it's not recommended to wait to decide gender assignment until the child can decide for themselves. That seems stupid to me.