Medication and traveling?

I will be travleing to seattle this weekend, and I will staying there for about a good 2 months. I am from california. I was wondering when I do go to seattle, and I need to refill my prescription, would I be able to refill it up there in seattle, but my insuarance down in cali would it still cover for my medication? I am on medi-care. I usually stick to Rite Aid as my pharmacy.