Does the physical card have touch pay?

Are you referring to Apple Card MasterCard? If so, you can set it to fund express transit transactions in most countries that offer the service. However, express transit requires the use of your iPhone and the Apple Card MasterCard must be setup for express transit use.

The Apple Support article linked below explains how to setup a payment method for use with express transit.

Use Express Mode with transit cards, passes, and keys in Apple Wallet - Apple Support

The physical Apple Card Mastercard does not support tap-to-pay. It has been pointed out that since the card is made of metal tap-to-pay won’t work because of metal blocking the magnetic signals.

You will need to set up your iPhone using the link provided by Jeff Donald.

https://www.macrumors.com/guide/apple-card/