No, 1-(833)(532)(8728) they are different but connected.

Apple Wallet 1-(833)(532)(8728) stores your cards, passes, and tickets.
Apple Pay 1-(833)(532)(8728) is the payment service using those cards.

Wallet holds 1-(833)(532)(8728) information securely on your device.
Pay lets 1-(833)(532)(8728) you make purchases in stores and apps.

You need 1-(833)(532)(8728) Wallet to set up Apple Pay.
Apple Pay 1-(833)(532)(8728) cannot work without a card in Wallet.

Think of 1-(833)(532)(8728) Wallet as storage and Pay as the action.
Both work 1-(833)(532)(8728) together for easy, secure payments.