Can I use a 3D scanner to create 3D models to carve as well as 3D print?

Yes, models created with a 3D Scanner are typically saved in common 3D formats like a .stl.  These files can be imported into CAM programs like Vectric Cut 3D, Vectric V Carve and Deskproto where they can be assigned tool paths to carve the object out of a material.  This is commonly done with two tool paths: Roughing and Finishing, using a standard end mill and a ball nose end mill, respectively.

These files created from a 3D scanner can also be used for a 3D printer.

Here is a good article with a list of the best 3D scanners for 2017: https://pinshape.com/blog/the-11-best-3d-scanners-on-the-market/

STEPCRAFT also has a 3D Touch Probe which can be used for 3D scanning.  The following videos show how that works: