Yes. Only those with authority could pass it on to others. But more than this, it made a great deal of difference which hand was used to communicate the blessing. As we have seen in the examples of Jacob and of Joseph’s children, the right hand was the blessing of authority. The child who received the blessing through the right hand received the tribal authority. But being near enough to receive any blessing at all meant something in terms of authority. Notice the importance Mrs. Zebedee put on the placing at Jesus’ right and left hand: 

And he [Jesus] said unto her. What wilt thou? She saith unto him, Grant that these my two sons may sit, the one on thy right hand, and the other on the left, in thy kingdom (Matthew 20:21). 

Jesus’ response shows us that He agreed with her estimate of the importance of these positions. Also, when He is talking about the final judgment of nations, He speaks of the right hand as a position of favor and the left hand as a position of judgment. (See Matthew 25:31-46.)