Yes, but remember what Bing West said. The order Obama issued must be executable. And therefore there must be a paper trail! If he just left after mouthing some inane BS like "do your best," or "lend all possible help" then there was no order, no paper trail, and then one would know that Obama never lifted a finger to save those people in Consulate.
Thus, it would be very easy to for Obama to show that he wasn't lying; show the order. If there was no executable order (re CBA) then he cannot show any paper.
Unfortunately this is too similar to all the other missing paper trails of this president. However, with 4 people dead, the weight of evidence is actually on him this time. Though he will certainly be able to procrastinate long enough for the election to be over. May he lose in a landslide nevertheless!
Breaking now...
Sources: Key task force not convened during Benghazi consulate attack
That doesn't make sense. Only 0coward has the authority to order a rescue across an international border. Since no rescue was attempted it is clear as crystal that he did not order one.