No. The Master Chief and most Spartan-IIs don't know about Spartan-IIIs until after the Onyx Conflict.

Does Noble 6 know Master Chief?

While Master Chief does hold the highest enlisted rank, Noble 6 is an officer. As a Lieutenant Noble 6 outranks Master Chief, and could theoretically be placed as his commanding officer. Being an officer provides Noble 6 with more human resources at his fingertips and the ability to give direction and lead.

Is Noble 6 Master Chief's brother?

Noble Six is Master Chief's son and has a brother called The Rookie. And yes this IS possible even though Noble Sex died before halo 1.