Yes, you can profile the edge of marble tiles. This process involves using a router or other specialized tool to create a decorative edge on the tile. The type of edge you choose can range from simple round or beveled edges to more intricate designs like ogee or bullnose. It is important to use the proper tools and take your time to ensure that each edge is smooth and consistent. Additionally, it is recommended to practice on a test piece before working on the actual tiles to avoid any mistakes or damage.