Probably....not.

The North had better resources (more railroads, factories) and more people. A lot of the South's population consisted of slaves, and of course people were too afraid to give them a gun or it might start a rebellion. They were also relying on the fact that IF they could win major battles they could get France or Britain's to recognize them as an independent nation and thus gaining their support in the war. Their main cash crop couldn't be used as a threat anymore since the people in Europe found other sources, and there was a Union blockade which would obviously hurt their trade. The idea of states rights were also hurting the South since the states would have a lot of power over the federal government. If the federal government asked for more men, they could refuse or ignore the request and thus maybe lose a major battle that they would have needed to win. True, the Union generals were mistake prone, but you would eventually find a good one after firing one after the other. Even if the America, the underdogs in the Revolutionary War won, underdogs don't always win.