I know OF or have met a folks who did what I did, or variations on that theme, to section hike or thru hike the A.T. If you do the methods described below, it is akin to what many hikers call “slackpacking,” i.e., hiking with such minimalist gear and weight that it is really a series of dayhikes strung together, without camping in the woods in the self-supported way that most backpackers do. Still, these are ways to hike the A.T.
Those solo usually did what I did (park several days away, shuttle or hitch back, then hike to their vehicle to resupply out of it). When I did it this way, I still carried about the same gear and weight that a traditional thru-hiker did and camped in the woods or near shelters along the way. Of course I was never one to turn down a slackpacking opportunity if it presented itself.
You can have any special stuff (meds, home-dehydrated foods, maps, guidebook sections, replacement gear, etc.) in your vehicle. Having that vehicle allows you to go anywhere you want to BUY the rest, including selected fresh foods. It also tends to make you somewhat popular with other hikers you encounter, but that’s a side benefit. 
But back to dayhiking:
I have heard of a guy who parked at one end of a day’s hike and rode a moped to the other, hid it in the woods, then hiked back to his vehicle, then at the end of the day drove to retrieve his moped. This guy usually slept in his vehicle overnight.
I also heard of a guy who had a truck-with-hitch and a small Ford Festiva or something like it. He’d tow the Festiva to his end-point, drive back to his start-point in the truck, then hike to the Festiva and drive it back to the truck. This person, I think, stayed in motels a lot.
The hikers I’m thinking of did not carry enough gear when doing this to support themselves in the woods overnight. You should be aware that there are a few places on the A.T. where the road crossings are far enough apart that this is impractical (at least for me), so if avoiding the purchase of gear (or the carrying of it) is the agenda slackpacking might not get you from GA to ME or vice versa by itself.
Another twist:
What Ardsgaine is thinking about is a “supported” hike, which requires one or more other people to assist as he describes. This is also a way of “slackpacking” and what he’d be doing is also “dayhiking.”
These and other styles are all valid ways of hiking the A.T. IMO, but provide very different experiences. Just more examples of how diversity rules on the A.T. It is possible to use a combination of these styles to hike all the white blazes between Springer and Katahdin.
“Skyline”