Will Samsung Pay work for Chase offers?
Well depends on the store. I remember when the category was chase pay, some stores required you to have samsung pay connected to chase pay and then use the samsung pay to pay for the purchase.
Just use your card for the purchase.
Or samsung pay which I don't see why it wouldn't work. All they want from you is to use the card, they don't care if you make a phone order and have the card punched in or from apple pay or from samsung pay. As long as the purchase comes back as a purchase from Starbucks or shoprite* you should be fine.
*That you really need to use the chase app.