No, Jackson was a one star brigadier general at that point, during the First Battle of Bull Run. The Rebels had about fifteen brigades or so, each with its own commander. Jackson had probably 2-3,000 troops under his direct command. The highest ranking Confederate present was General Joseph E. Johnston, but he had just arrived and was unfamiliar with the ground and the positions of the Confederate troops, so he allowed General Pierre G. T. Beauregard to continue to direct the battle.
The next year, at the Second Battle of Bull Run, Jackson was a three star general commanding a corps. Jackson's corps was alone on the first day of the battle, opposing the entire weight of the Yankees. Late on that day the other corps of Lee's army arrived on the battlefield, along with Lee himself, and the next day the Union army was again defeated on the field at Bull Run.
That is a rather lengthy and involved answer. This contains a good summary of the battle: https://en.wikipedia.org/wiki/Second_Battle_of_Bull_Run
The Confederates under Robert E. Lee and Stonewall Jackson.
Jackson was successful at outmaneuvering a larger Union force and nearly destroyed it
If you mean who was "victorious" at The First Battle of Bull Run, it was the Confederates lead by Stonewall Jackson.
The First Battle of Manassas as it was known in the South, or First Battle of Bull Run in the North.
Battle of Bull Run
Stonewall Jackson
In the first battle at Bull Run (1861), gen. McDowell for the Union and gen. "Stonewall" Jackson for the Confederates. In the second battle at Bull Run (1862), gen. Pope for the Union and again gen. 'Stonewall' Jackson for the Confederates.
Confederates - Robert E. Lee and Stonewall Jackson
bull run
Robert E.Lee - with the usual help from Stonewall Jackson
The Confederates under Robert E. Lee and Stonewall Jackson.
Stonewall Jackson
Jackson was successful at outmaneuvering a larger Union force and nearly destroyed it
Jackson was successful at outmaneuvering a larger Union force and nearly destroyed it
stonewall jackson
"stonewall" Jackson
"Stonewall" Jackson