Yes. If you are in a situation where you need to have a tungsten ring removed, there are tools that can do this. Since tungsten rings are becoming so popular, most EMT’s and parimedics carry a tool with them for this reason. There is no give to tungsten rings, so they will snap at the weakest point of the ring and break into two or more pieces.
If you are ever in an emergency and need to have your tungsten rings removed, do not worry, doctors and medical staff are well aware of how to handle this issue.