I wouldn't think so. Firstly, the same conditions that inhibit mobile warfare during the winter would impede maneuvers. Second, conducting training maneuvers in a theater of operations is liable to be mistaken by the enemy for the real deal with who knows what consequences. Thirdly, the field armies may not be able to spare the formations from operational duties so they could conduct maneuvers. Fourthly, the field armies may not be able to support such training exercises without compromising operational logistics. And fifthly, there is simply no tradition or understanding (let alone capability) in the US Army of the necessity to exercise formations so I highly doubt the Confederates would either
In fact, even the British with their much larger army, only began training exercises at brigade level in the Home Isles on the very eve of the Crimean War (at least one field maneuver involving about 10,00 troops took place in about 1852 in India). The United States Army wouldn't conduct its first field maneuver (about 5,000 troops) until 1902, and the first peacetime training exercise with a provisional division didn't happen until 1911. Prussia, by contrast, had been doing field maneuvers at a division and corps level since the Napoleonic Wars.
I think field maneuvers and a proper training program would have benefited both armies but it simply wasn't possible for the Confederacy.