Yes, you can make icing flowers ahead of time, and the best way to store them depends on whether they are buttercream or royal icing flowers.
Storing Buttercream Icing Flowers
If you plan to use buttercream flowers soon after making them, placing them in the freezer for 20-30 minutes will firm them up, making them easier to handle. For longer storage, buttercream flowers should be stored in an airtight container in the refrigerator.
Storing Royal Icing Flowers
Royal icing flowers, especially those piped onto flour squares for easy removal, can also be made in advance. These should be stored in an airtight container at room temperature, away from moisture, as moisture will cause them to become sticky and lose their shape.