Yes, and that was exactly one of Lee's main goals. Destroy the AotP on norhern soil.
With some refining detail, yes. He didn't
really care where he destroyed the AoP (or savagely mauled it). He just thought Pennsylvania might offer a way to do it.
In May 1863, Lee was frustrated that he could defeat the Yankees time and again, but could not find a good way follow-up his victories and truly damage them. Looking at the poundings he gave the Yankees in the Seven Days, 2nd Manassas, Fredricksburg and Chancellorsville might make that seem hard to understand. What Lee wanted was to get to the next level, to break up his bloodied opponent, to destroy whole units and hopefully a whole army (see what Grant does at Donelson, Vicksburg, Chattanooga and the Five-Forks-to-Appomattox Campaign).
In particular, Lee is upset that all four of his victories above end up with the Yankees able to move to a protected position where his ANV can't get at them: the guns of the Union Navy at Harrison's Landing, the guns of the Union artillery on Stafford Heights at Fredricksburg, the fortress of Washington after 2nd Manassas, behind the Rappahannock after Chancellorsville.
So Lee is looking for elbow-room to work in, far away from Union fortresses (Washington and Baltimore) and the guns of the Union Navy. He needs to draw them away from those, which means away from northern Virginia and most of Maryland. To do that, he needs to go after a point they simply cannot let him have -- so he heads for Harrisburg. That appears to be where he was headed in 1862 before he got brought to heel at Sharpsburg on the Antietam. That is where he and Jackson both wanted to go, and where they spent the Winter planning to go. (Jackson and Lee were clearly working on this in January and February; I have never seen an indication Longstreet knew about it until May, after Chancellorsville.)
Hooker/Meade are ordered to relieve Harrisburg in June. Meade considers it his first objective, which he believes he has accomplished with his rapid march north and reports to Halleck on the 29th (IIRR). Lee was right about the Federal reaction, but Meade has surprised Lee with his speed. Lee thinks he would have taken Harrisburg and had Ewell/Stuart joined up facing South with Longstreet and Hill in position to support them before the AoP could get up.
If that had happened, Lee would have his foot on the vital East-West routes of the Union. The B&O RR is cut down on the Potomac; the Penn Central RR is cut at Harrisburg; the massive RR shop complex at Harrisburg will be destroyed; only the NY Central RR and Erie Canal will be running. Economic disruption will be huge. Example: coal shipments to the Northeast will be stopped, leading to a heating crisis when Winter comes.
So far, it looks like a plan Sherman would love -- but this is Robert E. Lee. What Lee wants is to get the AoP
to come to him, on ground of his choosing.
Lee is confident his ANV will defeat them. When it does, he wants them far away from a place to rally or reinforcements. What he wants this time is to beat them and then pursue them, to bring them to earth and destroy them. In preparation for that, he has had his mapmaker and Jackson's develop detailed maps from the Shenandoah up through Maryland into Pennsylvania, up through Chambersburg and Carlisle to Harrisburg, starting back around February. This is why Lee has gathered seven brigades of cavalry: for a campaign of maneuver, battle and pursuit.
He almost got what he wanted. If Meade had been a little slower, if Ewell had gotten in touch with Stuart on June 30, maybe he would have. As it was, an aggressive Lee, pushing forward on July 1st, almost made it happen. Just not quite, not enough, and July 1 was a victory, but not complete. July 2 was an almost, again not quite enough -- and so we come to July 3.
But if July 1 is a bigger Confederate victory, if Howard/Hancock can't hold Cemetery Hill, then Meade is staring at a disaster. Lee's ANV will be coming down the Baltimore Pike or the Taneytown road. He will be in position to split the AoP into two halves with his united force between them. He will be pursuing the battered remnants of I, XI and XII Corps. This would offer untold opportunity to Lee (even more so if Stuart were somehow a day earlier in joining up).