Yes, you can freeze peach cobbler. To freeze it, allow the cobbler to cool completely, then wrap it tightly in plastic wrap or aluminum foil or place it in an airtight container. It can be frozen for up to 3 months. When you're ready to enjoy it, thaw the cobbler in the refrigerator overnight and reheat it in the oven until warmed through. Note that freezing and thawing may slightly affect the texture, but it should still be delicious.