The only resort you can walk to from All-Stars is Coronado Springs, and it's about a 45 minute walk.
However, eating at other resorts is not hard at all.
There is no resort-resort transportation, but that can be worked around.
Plan your resort dinners around the parks you are going to be at.
Let's say you want to have dinner at the Polynesian, Contemporary, Grand Floridian or Wilderness Lodge/Ft. Wilderness. Plan to have dinner there when Magic Kingdom is open late, spend the afternoon at the Magic Kingdom, take the monorail over to the Poly, CR, or GF, or take the boat to WL, or Ft. Wilderness, have dinner, go back to the Magic Kingdom, then bus back to All-Stars
If you want to have dinner at Boardwalk, Beach Club, Yacht Club, Swan or Dolphin, plan your dinner when Studios is open late, then plan your afternoon at Epcot or Studios, walk or take the boat to where you want to eat, then walk or boat back to the Studios, then bus back to All-Stars,
If you want to eat at Old Key West, Saratoga Springs, or Port Orleans, then bus over there from any park you wish, have dinner, then boat or bus to Downtown Disney, then bus to All-Stars
If you want to eat dinner at Animal Kingdom Lodge, then I would recommend eating there after spending the afternoon at Animal Kingdom, then take a taxi back to All-Stars.