Can I apply for Apple Card even if the credit score is bad?

If you’re declined for the card, it will not affect your FICO score. The issuing bank only does a soft pull of your credit when you apply. If you’re approved for the account and accept the banks offer, a hard pull of your credit will be performed and your credit score may drop for a few months.

How to apply for Apple Card - Apple Support

>>See if you're eligible

• To be eligible to apply for Apple Card, you must be 18 years old or older, depending on where you live.
• You must be a U.S. citizen or a lawful resident with a valid, physical U.S. address that's not a P.O. Box. You can also use a military address.
• Your device must be compatible with Apple Pay. See which devices are compatible with Apple Pay. 
• Make sure that your device has the latest version of iOS, iPadOS, watchOS, or macOS.
• You need to be signed in to your Apple Account on your device and use two-factor authentication.
• If you have a freeze on your credit report, you need to temporarily lift the freeze to apply for Apple Card. Learn how to lift your credit freeze.
• You might need to verify your identity with a Driver's License or State-issued photo ID.<<

How your Apple Card application is evaluated – Apple Support

All you can do is try.

How to add Apple Card to your Apple devices - Apple Support