When we transferred from Epcot to Contemp for our dinner at Chef Mickey's back in February I drove! I'd parked at Epcot where we spent the first part of the day, and after loading the
ECV into the back just drove over to the Comtemp to park. I can't remember how long it took, but it couldn't have been much more than 30 minutes or so. After dinner we left the car there and went over to MK by monorail.