Is it possible to have a major depression that is not treatable, no matter what is done about it?

Sometimes: There is a small percentage of people who have "refractory depression", meaning that they do not respond to treatment. This is becoming less likely due to the variety of treatments now available. If you are someone you know has struggled with long term depression that has not responded to treatment, try not to give up. Continue to see help.

Rarely: Depression can be described as feeling sad, blue, unhappy, miserable, or down in the dumps. In contrast, clinical depression is a mood disorder in which feelings of sadness, loss, anger, or frustration interfere with everyday life for weeks or longer. This sounds like severe depression, which will require a combination of medication and psychotherapy. Consult your doctor for guidance.

Other options too...: For very difficult cases of treatment resistant depression there are also other modalities including vagus nerve stimulation (vns), transcranial magnetic stimulation (tms), magnetic seizure therapy (mst), and deep brain stimulation (dbs). Electroconvulsive therapy (ECT) can also be very effective and is not like what is seen in one flew over the cuckoo's nest. No one deserves to be depressed.