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It's unlikely - but it depends how bad your credit is, and how high a limit you seek.
A credit score of less than 600† is subprime, and you will be likely not get approved for more than a few hundred dollars in credit. On the other hand, if your credit is only average, in the low 700† range maybe, then you may be pleasantly surprised by being approved for a higher line of credit than you expected.
It's important to pay attention to the recommended credit level on the card you apply for. Every card on our site says whether it's recommended for people with limited, fair, good and/or excellent credit. Get a copy of your credit report and read it before you start applying.
If you do get a credit card, try to keep your total debt under 30% of your line of credit. Not only will it be easier to pay off, it will help improve your credit score.