Did the Dinosaurs come before the ice age?

Yes

EDIT

Depends which "Ice Age" you mean. The earliest and longest ice age was the Cryogenian period which began over 850 million years ago and lasted until 635 million years ago. Even "cryo" refers to the cryosphere; the amount of ice on the Earth. In relation to your question, it would be no. The Ice Age the answerer above is probably referring to is the times when the Wooly Mammoth dominated in the Pleistocene period that began over 2,500,000 years ago and ended over 11,000 years ago.