Blocking in Chinese Checkers

QUESTION: What happens if another player's marbles have not cleared the point sufficiently to put your marbles in?  My partner had me waiting (quite a while) while he pulled his marbles out and made their way across the board.  We just 'passed' the turns until I could move, but in a real game would it have been the end of the game?

ANSWER: You played that correctly. If you can't move, you simply pass your turn until you get the opportunity to move a marble.