Yes, metal can be added to a ring, especially when resizing it to a larger size.
When a ring needs to be made larger, a jeweler will typically cut the band of the ring. Then, they will add a piece of metal that matches the existing metal of the ring (e.g., gold, silver, platinum). This added piece is then seamlessly integrated into the band through soldering or welding. Following this, the jeweler will smooth, polish, and clean the ring to ensure a uniform and aesthetically pleasing appearance. This makes the addition of metal virtually undetectable. The amount of metal added depends on how much larger the ring needs to become.