No, Fanta Zero is generally caffeine-free.
Fanta Orange Zero, in particular, is made with 100% natural flavors, fruit juice, and explicitly stated to be caffeine-free. This applies to most, if not all, Fanta Zero varieties.
While specific formulations may vary by region, Fanta Zero's defining characteristic is its sugar-free composition, and caffeine is not typically added as an ingredient. It's always a good idea to check the product label for definitive confirmation, especially if you have a caffeine sensitivity.