No, the TTC holds parking for the Magic Kingdom. Epcot, the Studios, and Animal Kingdom each have their own parking lots. Simply follow the directional signs for Epcot, and you will find the lot.
However, if you wish, you can park at the TTC and take the monorail to Epcot from there. You might choose to do this if you were going to end the day at the MK.
Tim E.
Dreamfinder's Other Concoction