That can't be, if we believe Lovebloggers (post 132). According to that chronology, Maj. Petraeus (as he was then) was stationed in Washington during the Gulf War (Jan. - Feb. 1991).
http://en.wikipedia.org/wiki/David_Petraeus
Iraq
20032004
In 2003, Petraeus, then a major general, commanded the 101st Airborne Division during V Corps’s drive to Baghdad. In a campaign chronicled in detail by Rick Atkinson of the Washington Post’s book In the Company of Soldiers, Petraeus led his division through fighting in Karbala, Hilla, and Najaf (where he came under fire during an ambush by Iraqi paramilitary forces)