Yes, the Apple fast charge data cable is required to charge the cable must also be a type C port, Apple's fast charge is PD protocol 20 watts 5 volts of voltage. As long as the regular charger meets this specification, the charging cable equipped with Apple certification can be charged.
Now, the iPhone starts from 12, and 13 are no longer equipped with charging head, but with a large type C lightning data cable, so if the fast charging head is used, it needs to have a type C interface.
It does not have to be A C port, as long as it is a fast charge that supports the pd protocol, ordinary A port can also be used.