It's been years since I've stayed at CBR, but, no, you can't walk to Epcot. While the resort is relatively close, there are no sidewalks or walkways to the park and would probably take longer than the bus!
I agree with Safetymom...request Jamaica it is close enough to the food court that the walk isn't so bad...however it's far enough away that you don't get any noise in your room from Old Port Royale which with the pool and outside tables for dining and pool bar can be quite noisy.
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