Yes, there is a recipe. But, no, the odds are very much against you being able to make it yourself for more than one reason. First one is the recipe is owned by the Coca Cola Company, and they aren't trying to give it out to ANYONE. I'm quite sure there are very few people (if it is more than 1 even) that know or have access to the recipe. It is how they make money and I'm sure they don't want people to make it themselves because that would be money they would no longer be making. The other big reason is because the equipment you would need to carbonate it, would probably be very hard to get and very expensive.