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It's possible to get approved; it's not uncommon to get the 30-day message which means they have not started processing the application, but people get approved eventually. The best thing to do is just wait until the message changes to something else.
Chase would still prefer to see at least 1 year of credit history, so at this point it's a bit hard to tell. If they do deny this application, you could try again when having enough history but wouldn't apply for anything else before that.
I got the same message from Chase a few weeks ago, when applying for a Freedom Unlimited. Since my FICO's around 665-670, I was terrified it was a rejection.
Two days later, someone from Chase called to verify my address. Turns out they weren't able to verify me automatically since I moved within the last few months.
I confirmed with her over the phone (sketchy... I don't normally give out personal information to people who call me), and she immediately told me I was approved with a $1,000 SL, something something APR, card will arrive in 7 business days, etc.
So keep your hopes up!