Not a chance. The only potential issue I can think of is if Wenger ***** off. However all the reasons he joined Barca have changed: he left to be at his boyhood club, to win trophies and to play under Pep Guardiola. Now the fans boo him, Barcelona look a somewhat spent force with Messi tired, Xavi creaking, and controversy off the pitch - and Guardiola, their most successful manager and massive attraction - now at Bayern Munich.
I'd say considering Arsenal have a percentage sale clause with him (and consequently can compete more easily financially for him), he loves the club and used to be club captain, adores Wenger, and there isn't even a proper manager at United yet, then it seems a rather unlikely prospect. Certainly not if Woodward keeps considering those "whispers" and keeps bidding ?25m for him...