Could the Union have wiped out Lee at Antietam?

With the entire battle map of the Confederate Army, if McClellan had had any courage or military acumen, could have have wiped out Lee's entire army in Maryland through a surprise encirclement? Or at worst have prepared for battle on that first day and charged the field at Lee instead of giving him 24 hours to prepare his defenses?
 
The problem for the McClellan's position at Anteitam is that the battlefield itself makes communication and coordination between different portions of his army that would have needed to coordinate difficult. He could probably have driven Lee off the field earlier easily enough, but a full envelopement seems unlikely even if McClellan had had the timerity to plan for one.
 
Most likely 'best' Union result, is Burnsides corp crosses Anteitam Creek hours earlier. This could lead to Lee's army in a untenable position and making a difficult retreat.
 
If McClellan had coordinated his attacks better and been willing to gamble everything on an all-out attack, then yes. He could have annihilated Lee's army. (Probably captured Lee and most of his generals, too.)
 
Destroy entirely? He would have needed some luck on his side. A solid victory that sent Lee flying back to the trenches of Richmond and to be followed up by the taking of Richmond? Definitely possible, if not probable if Mac would have been more aggressive.
 
No, Lee's position was in general good and the Federals were likewise exhausted.

Lee certainly had the advantage of a better position, as well as almost the entirety of his Army being veterans, while a large portion of the Union army were green recruits. Nevertheless, there were definitely some close calls for Lee, like the Sunken Road or Burndide’s bridge, where a more aggressive General, like Grant, would have thrown in their reserves to exploit the breakthrough. Whether that would have translated into the complete destruction of Lee’s army is hard to say, but it certainly would have been a bloodier battle.
 
The Army of the Potomac failing to coordinate its attacks left Lee able to shift his troops to meet each new thrust separately. More sustained pressure certainly could have upset the balancing act.
 
Lee's great danger was that he had the Potomac at his back. If his lines had broken and the Union troops had set up artillery on the banks, his army would have been slaughtered trying to get across. At the very least he would have lost all his artillery and supply wagons.
 
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