I would like to add two cards of the same store to Stocard. Is that possible?

Yes, it sure is!

If you try to add a second card of the same card provider, you will automatically have the option to include a "Description" to the card. This card description will then be displayed below the logo for this card. By adding a description to the second card of the same provider you can easily distinguish between the two, even though both cards have the same logo.