As it stands now, other than Hawaii there will be no trans-Pacific flying under the Virgin name due to Singapore Airlines investment in Virgin Atlantic. This is why Virgin Blue had to create a new airline and use the name V Australia for their 777 operation.

That being said, the Asian market is simply too big and growing too rapidly to ignore long-term. No inside information or anything, just speculation on my part, but it would not surprise me at some point to see some sort trans Pacific venture in the future.