No, there was no half-breed character involved in the real historical account of the 47 Ronin.
The Historical Accuracy of the 47 Ronin Narrative
The popular cinematic depictions, such as the 2013 film 47 Ronin, introduced fictional elements to the traditional Japanese tale. Specifically, the character of Kai, who is portrayed with mixed origins and faces prejudice as an outcast, was created solely for the film. This includes the entire racial dimension associated with his character.
In reality, the historical incident of the 47 Ronin, also known as the Akō incident, involved a group of masterless samurai who meticulously planned and executed an act of revenge for their disgraced lord. This celebrated event in Japanese history, which exemplifies the samurai code, did not feature any individual of mixed race among the loyal retainers who undertook the vendetta. The addition of such a character and narrative angle was purely for dramatic purposes within the movie's storyline.