how to add medical id cards to wallet
how to add these "paper" cards" like ss and medical cars to wallet
iPhone 13
There is not universal way of adding the cards you mention. The individual health agencies, clinics etc have to support the feature of adding cards/vaccinations, to your wallet. The support article linked below explains adding some items to your Wallet.
Add, use, and share boarding passes, tickets, and other passes in Apple Wallet - Apple Support