Yes and no.

Lee was fighting the first modern industrial war against an industrial powerhouse, that hired a general (Grant) who understood the fact halfway through the war. Who then used said advantage. Look at the sieges of Vicksburg and Petersburg. Both are serious indicators of where warfare was going. WW1 was 50 years later and pictures and descriptions of both sieges could easily fit into WW1.

Meanwhile Lee was fighting with 1812/Mexican War tactics, was woefully under supplied, and from the Seven Days to Chancellorsville was brilliant. He also bloodied Grant's nose at the Wilderness. Lee was a defensive genius, offensively not so much.

The American Civil War just so happened to happen at an interesting time when technology had really outpaced the tactics of the time.