SlingMedia thinks so. In a brief note on the Sling website, the company notes: "We are in close contact with our partners at Apple and are optimistic that it will be approved soon. We hope the wait won't be much longer."
Hopefully the company knows something the pundits and rumor mongers don't. It's been a month of excitement followed by depression as lightly-sourced rumors spread that Apple would turn down the highly anticipated app at the request of AT&T, who worried about all the bandwidth the app would use. There was even a change in the AT&T Terms of Service, that the company later disowned and apologized for.
Of course other phones sold by AT&T and other carriers do offer the SlingPlayer Mobile app, but no other single phone has the footprint that the iPhone has.
There have also been rumors that the app might support WiFi only, which would be a tremendous downer for people who expected to be able to Sling away from just about anywhere. Hopefully, this whole soap opera is drawing to a close, but Sling fans shouldn't throw away their torches and pitchforks just yet.
Thanks to Matt for the tip.