No, afraid not. She is currently drawing unemployment, right? And she's been called back to work, "unfurloughed" as of...when? Before 30 days from now, I suspect.
If they call her back to work and she does not accept the recall, she will have to report on her certification that week that she was offered work and that she did not accept it. Then she'll have a decision by the department determining that she is not going back to work because she is getting ready to move, leave the area. This will most likely stop her benefits.
If she is not called back before you move, then she'll still be contacted by her employer, still have to report the recall, still be stopped from her benefits. Her PA employer isn't going to be enthusiastic about her not accepting the recall, and wouldn't be at all thrilled for her to continue to receive benefits.
And it would be a PA claim, no matter where you move to. In some states, reclocation due to a spouse's work( particularly if it's a military spouse) is considered a valid reason to leave your job and move and then be able to sign up for and receive unemployment benefits...(though PA isn't one of these states)
But even in those states, you can't refuse a recall (because you've moved) and continue to receive benefits if you already had an open claim you were drawing from. The week she was recalled and did not go back to work, she would be required to tell the system that. If she just didn't...say she moved and left no forwarding address, and didn't get the letter recalling her, or didn't get the call, any benefits she received would be be possibly received fraudulently. The employer would report that she refused recall, and it would be caught from the system, even if she doesn't report it.
And in unemployment insurance, no one's economic situation or specific circumstances has any effect on whether or not they get to continue to receive benefits. They do not take needs or income into consideration when you sign up, and they do not give you special consideration based on anything personal.
It is possible you might decide not to relocate and take this other job, now that the situation has changed. It is a decision you'll have to make, but I really do not think you will be able to count on your wife getting unemployment benefits once you get there.
What I would do, if I were your wife, is call up her previous/separating employer. Explain the circumstances, how your family made this decision to relocate because she was laid off, and you obviously did not anticipate that she would be recalled. But now she is about to be called back. She'd need to ask them very frankly if they anticipate that the job will be long term, in other words, is the company back in better fiscal health, or could she expect to be furloughed again sometime in the near future? This will help to give you some better idea about what you should do.
The employer could, if they wanted to, cancel her recall, and let her stay off and continue to draw benefits. If so, she could change her address and continue to sign up for her unemployment insurance claim when you got to NC. But I don't much expect they'd be this good to her, as it does cost the company in taxes when an employee is laid off and drawing benefits.