No. Migration should be rare for a beta site, particularly during the early days.
That said, if you see a good question going unanswered on SO - especially if it's not strictly programming-related - go ahead and leave a comment there noting that such a question would be welcomed here as well. For instance,
While questions on Stack Overflow are expected to be about programming in some fashion, [magento.se] welcomes any question on the use of Magento.
(the bit in brackets will automatically expand to a link here)
Be careful not to flag or spam questions that are already well-answered and clearly on-topic; this will tend to irritate both the askers and the moderators.