No, they are two different people. Joseph lived in the Old Testament times (see Genesis) and Joseph lived in New Testament times. (Joseph was not really the father of Jesus, God was, but Joseph was only his earthly father.)
Joseph the Dreamer's great grandfather is Abraham. Joseph's (adoptive father of Jesus) great grandfather (ancestor) also includes Abraham.
Saint Joseph was the foster father of Jesus. God was his father.
Joseph was the foster father of Jesus, his legal but not biological father.
Joseph is the husband of Mary and the earthly father figure of Jesus in the lineage of Jesus.
No, He had no other father, it is as you wrote, God was His heavenly father, and Joseph was his earthly step-father. He had no other father.
No, Joseph, the earthly father of Jesus, was not alive when Jesus was crucified.
If you are speaking about Jesus' step father, Joseph, we are not told about that, but I seriously doubt that He did hit Joseph. If you are speaking about Jesus' Father (God) in heaven the answer is absolutely not!
Joseph son of Jacob (Matthew's Gospel) or Joseph son of Heli (Luke's Gospel) is the father of Jesus in the gospels. Joseph of Arimathea was the rich man who buried Jesus in his own tomb. Some say that by doing so, Joseph of Arimathea was filling the role expected of a father in Jewish tradition.
The bible puts the earthly father of Jesus as Joseph.
St. Joseph was Our Lord's Adopted father. His Actual Father Is God.
Jesus' step-father, Joseph was a carpenter.
St. Joseph was Our Lord's Adopted father. His Actual Father Is God.