Sure, Blue Eye Samurai is a manga. It stands out for its creative world-building and the depth of its narrative. Many fans appreciate its combination of action and drama.
No, it's not a real story. It's probably made up for entertainment purposes. Usually, such names and concepts are part of fictional worlds crafted by authors or creators.
Blue Eye Samurai is indeed based on a true story to some extent. It uses the backdrop of historical Japan where samurais were prominent. This means things like their training, their relationships with different social classes, and their role in society are likely to have roots in historical truth. It could also be based on the tales of real samurai warriors that have been passed down through generations.