The Apple id is my own and the bank card is my father's. Can he receive the message?

You can receive information at ordinary times.

The mobile phone number bound to the bank card can receive SMS, so if there is no SMS notification, then you may have three things not done well. First of all, depositors don't have SMS service, and banks are not obliged to send you SMS "out of their own pockets". Second, the short message was intercepted, so the short message sent by this number could not be received.

The amount did not meet the notification standard. Now many payment platforms also have this setting. If a certain consumption amount is not reached, the bank card will not send SMS notification. If these three steps are not done well, then the mobile phone can't receive SMS naturally, and then the bank card may be stolen, and the card owner doesn't know.

In layman's terms, an AppleID is an Apple account:

If you want to use the full service of iOS, you must register your AppleID. This account is owned by each user independently and provided by Apple for its own devices free of charge. In general, there are three ways to get an AppleID, which can be registered through Apple's mobile phone, registered on the webpage, or registered on the computer with iTunes. The following is the registration method for the web version. You can enter the information according to the prompt to register successfully.