Yes, but the chance is very small. You can see the cards you will get in the first level by looking at the upper right corner. Let me teach you a trick. If there is no card that suits your liking, click Delicious Town to return to the town, then click Go to the sea to enter Delicious Island, and then enter the secret treasure cave of Magic Tower Cake, and the cards will be refreshed. Refresh a few times to see if there are any cards you want. However, the cards will not be refreshed after the number of daily treasure digs is exhausted.

(Please adopt it if it helps you, thank you)