Nope, resort parking is for the express use of those either staying at that resort or short term parking for those using the amenities of the resort (but not the pools). You will have to park in the Epcot parking lot.
Now, if you wanted to, there is a 'public' lot behind the Hess Station, across the street from BW. But, it will take you about 15-20 mins to get to the Intl Gateway.