You may be able to sue your insurance company for emotional distress if you can prove that their actions were egregiously negligent or intentional, causing significant emotional harm. Emotional distress claims often arise from bad faith practices, such as unjustly denying claims, delaying payments, or other unethical behavior. However, these cases can be complex and require substantial evidence to demonstrate the insurance company's liability and the impact on your mental health. Consulting with a legal professional is crucial to understand the specifics of your situation and the likelihood of success in such a lawsuit.