Removing the Icing and the Marmalade before Candy Bombs explode may not be a problem, but you may struggle to reach the target score needed to pass this level. Considering that you get 3000 points for every destroyed Candy Bomb, you have to remove a lot of them and for that you need many special candies.Color Bomb/Candy Bomb combination is not mandatory here, but it will give you the needed points and will remove the Candy Bombs that give you a hard time.
I was able to make it 5 times and I got over 1,000,000 points! See the video below if you want to have a high score on levels with Candy Bombs: