Do you already have some backpacking experience? All your gear? Then this is an easy "yes". I'd lean toward leaving in mid-April, both to cut down on the crowds a little, and to minimize the cold weather gear you'd need for an earlier start. (You'll still need some warm clothing.)
If this would be a totally new experience, and you need to buy all new gear, then my answer is a more qualified "maybe".
There are plenty of successful thru-hikers who had their first-ever night in the backcountry on top of Springer on the first day of their thru. But having eight weeks to figure out what gear you need, buy it all, test it, and then start hiking, well, that's not a huge amount of time.
(We met an older man from New Orleans on the trail in Georgia several years ago. He had never backpacked, but he went to the Neels Gap outfitter, right on the trail, they set him up with the proper gear and showed him how to use it, and he completed the trail. The advantage of Neels Gap is they specialize in the kind of gear that long distance hikers need -- most "backpacking" stores do not, especially the further you get from the AT.)
As for planning, well, you already know that no plan survives first contact with the enemy.
There's a good resupply planning guide on the front page of this site, which will help with the initial planning. You'll need one of the two thru-hiker's guides, either the AT Guide or the Thru-Hiker's Companion - both are good, but since I'm a volunteer editor with the Companion, I'll recommend that.
The guides have everything you need while on the trail - mileage to water, campsites, shelters, and roads, and also complete town information for getting into town for resupply. After a couple of weeks on the trail, you'll find it pretty easy to plan how many days of food you'll need to the next town, and hit the grocery store then get back on the trail.
Good luck. When my daughter had the opportunity to do something she really wanted to, but it would interrupt her life for a year, my advice was to make a choice that she won't regret in five years, or fifty. Grad school will still be there when she gets back.