I doubt it. From what I know, the service interruptions were only intermittent beyond the first day or three for most servers, and refunds only really happen when there's a sustained, total lack of service. My guess is a few server groups on EU or JP might see refunds, but that's it.

Then again, anything could happen if enough people make a stink about it, but let me be the nth to say that the ToS does not entitle you to a refund due to loss of service, so if you do lend your voice to such stink-making, don't demand anything.