Конечно! Вот заполненные предложения с недостающими словами:
I'll have time to visit both parties. I want to have my cake and eat it.
It was the late-night disco party that became the icing on the cake.
We couldn't buy the shoes we wanted as they sell like hot cakes.
You are so talented! This competition should be a piece of cake for you.
Если у вас есть еще вопросы по идиомам или любым другим темам, не стесняйтесь спрашивать!