You can definitely do this. When we stayed at Coronado, we took the bus to DHS, then hopped on the Skyliner. We didn't do it from Epcot (initially I hadn't thought this through lol) because the bus drops you at the front of the park.
It's a fun outing. We did it one evening from CSR on a day we hadn't been in the parks.
DD and I also rode all the lines from Pop on another trip and stopped at Prima Piatto for lunch. I think that's our new fav counter serve.