It depends if you registered your card. If so accessing the data and account can be more solution comprehensive. If the card lost means an unregistered card that's gone missing, it might be Lost for good. Good luck! And remember to register your card and earn ✨ stars! ✨ ✨ ✨ https://www.starbucks.com/account/card
Good question. I'd recommend you call them directly. It may be possible.
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