Yes. Cooked gnocchi can be stored in the refrigerator for up to 3 days. If you want to freeze them, flash-freeze them first by placing them a little apart on a baking sheet in the freezer. Once they freeze, you can place them in a freezer-safe bag. Uncooked gnocchi can be refrigerated for a few hours before cooking, but dust them with flour first to stop them from sticking.