Is there any way that the Union could win The American Civil war by 1863 and if so what would happen?
If Hooker had won Chancellorsville and marched on Richmond, you could have had the beginning of the entire collapse of the South by July. But, do not forget that there were most of the Confederate state capitols still in the Confederacy, and Davis and company would have just kept removing to the next state capitol, with the remnants of the AONV fighting a rearguard action and uniting with other Confederate forces.
So in the end, they would have been hunted down from state to state. The best way to win the war by 1863 is McClellan being a bit more vigorous during his campaign on the Peninsula.