Yes, it is possible to upload animated GIF images to your Yahoo! Store. However, if the store software needs to resize your image, only the first frame of your animation will be captured and displayed in the resized image.
It is not possible to animate buttons in your store. If you upload an animated GIF to one of the button image related properties, only the first frame of the animation will be captured and used for your custom button image.
You can upload files to your Files area, then use HTML to reference a specific image file.