You can break ice blocks only in daily challenges. This shoud come naturally while going for the medals, but you can actually replay the same challenge and grind this one out. Depending on the difficulty there are about 7-8.
For this month (Dec19) there is no Expert Icebreaker, but it may come the next days or months.
Edit: You actually have to WIN the challenge to count it towards your progress. Failing and ending the game before won't make the stats go up.