Yes, you may dig these up for transplant. Just make sure to dig about 2 feet out to make sure you get most of the root mass, so that it can better handle transplant. I would advise mixing in a good organic potting soil to the new area before planting. This will help the plant to survive in its new location.
This article will give you more information on the care of these: https://www.gardeningknowhow.com/ornamental/flowers/statice/growing-statice-flowers.htm