Obsessive fear of death in a supposedly healthy 26 year old. Can it ever get better? How to stop fear of death?

Counseling and exam . Perhaps a good physical exam with some blood work might provide reassurance that you are indeed healthy. Counselling might help you find the source of your worries about death and dying. Perhaps a recent death of someone close or someone who died around your age might have triggered this fear. There is always help that can make things better. Do not get discouraged!
Faith and trust. If you are a believer, just leave Yourself in the Hands of the good Lord? All of us are afraid to die and it is normal. Medication will do you no good.