No, you cannot adjust status while the appeal is pending with the BIA. Neither the U.S. CIS or an immigration judge has jurisdiction to field the application. The underlying removal order has to be rescinded first, and that can only be accomplished by filing a motion to reopen, which could be time-barred. You absolutely need a lawyer to help assess whether this is possible; it is simply too complicated to undertake yourself.
You cannot adjust status if your case is in removal proceedings. You can file a motion to remand, if she is eligible for adjustment (would probably need a waiver due to the fraud during entry).
Let me know if you have further questions.
Attorney at Law & CPA
Law Offices of Rehan Alimohammad, PC
Houston Office: 281-340-2074
Toll Free: 800-814-3920