A few, but they involve additional equipment.
Insert a different class 10 32GB card and see if the phone works. (If it does you have a bad card.)
Insert your card into a different S4 and see if it works. (If it does, you have a bad phone.)
If the card is bad, contact San Disk. They're really good about replacing defective products.
If you contact Samsung and they give you the fairy tale about the card being too fast for the phone, please try to not laugh while they can still hear you. Treating a customer service rep like a moron is considered impolite.