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Yes. Almost all major credit issuers allow co-signing, but there may be some restrictions. If your father has a credit card with one of these issuers, he should contact them for details.
Co-singing is not the best way to build your own credit history. As an alternative you may get your own credit card instead of having your father co-sign. You may apply for a secured credit card. You will need to put down a security deposit for the credit limit. Your credit performance will be reported to the major credit bureaus and you will be able to build a good credit history.