Hi,
You can, but no they do not. Cool, dark, and dry is what they need. I store my seeds in a closet of a cool dry room. They will last a few years like that. Poppy seeds will stay viable for a long time.
You can store seeds in the freezer also, but to do so, you must make sure seed is completely dry. Plus, you have to let the seeds come to room temperature before opening up the container. If you need to store you seeds for more than few years, it could be worth it to do.
Remy