The shortest path would from POP through the Boardwalk to the World Showcase entrance. That trek is right at 2.5 miles or roughly a 1.25 hour walk.
So could you physically walk from POP to Epcot? Yes, but I would not recommend it especially since Disney transportation could have you there in far less than half the time.
Most of the averages I found ranged from 2 to 3 miles per hour. Since about 1/2 to 2/3 of the walk would be on grass I took the lower of the averages.a 1.25 hour walk? Do most people really walk at a 2 mile an hour clip? I would think most people could do 2 1/2 miles in under an hour. :shrug:
Either way, I think it might be a moot point. While there are unboubtedly roads that could take you from Pop to Boardwalk, I don't know if those roads have sidewalks. If they're main roads, it would possibly even be illegal to walk on them. And if there are side roads, if there aren't sidewalks, even on a cool day, it wouldn't be a pleasant walk, that's for sure.
Good rule of thumb, one of the reasons the Values are Values is because they aren't walking distance to ANYTHING. They save walking distance destinations as a perk for Deluxes and DVC Resorts.
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