With Google Wallet you can get the Google Wallet Card that will allow you to manage the payment methods on it via the Wallet App, so you don't have to store any cc information on your phone and you can change the payment option on the fly.
So you are thinking can I add the Google Wallet Card to Apple pay, sadly no. Apple strictly controls what banks are on Apple Pay and the bank behind Google Wallet isn't allowed. They also won't accept PayPal or the PP Debit/credit cards either. Apple is a petulant child, when they don't get their way they take their toys home.
In my opinion having used both I stopped Apple Pay after a few tries, and Google Wallet card works well for what I need to do.