I signed up for the Hyatt fast track promotion, so I figured I should get the World of Hyatt card. I wasn't instantly approved, and I got the 7-10 day e-mail. I called the reconsideration number, which quoted the two weeks. Since I wanted to get a head start, I figured I would talk to an agent to see if I couldn't get approved manually. I have multiple Chase cards, including some with high limits, so I imagined I was near the total credit limit Chase would like to give me.
As I suspected, the agent said she could approve me immediately if I would be willing to move some credit from another one of my Chase cards. I did so from my Marriott card, which still has a healthy limit after the transfer. I now see the card appearing on my Chase account online.
My credit is otherwise fine, and I was at 0/24 prior to this application.
Also, I was unable to get expedited shipping for this particular card since they're in the process of associating my World of Hyatt number with the card.