Yes, but the Restored Government of Virginia approved the creation of WV. They created the state of Kanawha out of the pro-Union, anti-slavery counties in the west and then renamed themselves West Virginia.
The reason Virginia approved of the seperation was for this reason. After the war the Federal Government gave the state of Virginia two options in regard to the situation. Keep the western counties and remain one Virginia on the grounds that Virginia owed the federal government all its pre war and war debt. Or, allow WVA to be created and the debt would be split in half between the two states. Seeing as Virginia was in terrible shape for the next dozen years following the war logically Virginia chose the second option. The eastern panhandle was coerced by the federal government into becoming a part of WVA mainly because they feds threatened to punish Harpers Ferry and its county by cutting off the thriving B&O railroad. So you can argue many sides to the creation of WVA and be partially right I suppose.