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At the moment the answer would be yes, looking at this board. It is one of those which are heavily manipulated. With that I mean that everyone's starting board looks the same and there is no choice of move. Hence the algorithm decides who gets a lucky board to pass and who gets to fail and how long it takes until you do get a lucky board. There are a lot of levels in Candy Crush like this. Keep going at it until they offer you 125 or more moves. Quite often by then they will give you a lucky board. If they don't, then they might on Monday. They update some of the algorithms on Mondays and Thursdays I think.....
However, judging by some of the posts I have read I am not sure if King give out lucky boards or free passes to anyone above level 12,000. I have never got one yet above level 14,000. However I am impatient and have boosters and gold, so I never wait for that. I believe they are trying to kick out players in the upper levels who do not spend money on the game. It may be time for you to quit. Or give up this game and start on a new login.