From Epcot you can exit at the International Gateway - between Great Britain and France I believe.
From the International Gateway you can either walk past the Boardwalk Inn and take the path in the back of the Boardwalk to the Studios (probably 30 + minutes at a leisurely pace).
Or you can take the Friendship boat to the Studios (outside the International Gateway). The boat will stop at the Yacht/Beach Clubs, Boardwalk, and Swan/Dolphin so this will take at least as long as walking, maybe more.
It's a nice walk if the weather is good.