Yes! Here's how:
Press and hold the Shift key, click on a blank area in the Storm near the stickies you want to copy, and drag the cursor over the stickies you would like to select.
The selected sticky notes will have a blue border around them.
A new menu will appear next to your cursor, and in that menu you can choose to:
Note: Locked stickies will not be able to be selected, you will need to unlock the stickies first.