Sure does. The manga version of Afro Samurai provides more depth and background to the world and characters. It's a great complement to the anime or standalone read.
Afro Samurai is a story about a young man named Afro on a quest for revenge. He is seeking to avenge his father's death. Afro has a unique sword and he battles many foes along the way. He has to face powerful adversaries in a world where the number one headband gives the wearer great power and is highly coveted.
The key elements are revenge, the number one headband, and Afro's sword skills. Afro is driven by revenge for his father's death, the headband is the symbol of power he's after, and his sword skills are what keep him alive in battles.
To be honest, I don't know for sure. It depends on the storyline and the creators' decisions. You could look for reviews or discussions online to find out.