No. The game is called rummy. any person who discards with rummy on the board the person who calls it gets the points. the person who is after the player who discarded the rummy then goes. it is just...
A rummy is another word for meld, which is any of the runs or groups of cards that count as a set. To call rummy at the end of the game, all of the cards in your hand must be in melds.