Social Security doesn't have a rule against it, but collecting unemployment while waiting for SSDI or SSI disability benefits could come back to bite you.
A severe neurological disease that affects the nerves and muscles of the face and jaw, progressive bulbar palsy can qualify for disability benefits under Social Security's expedited Compassionate Allowances Program.
Piriformis syndrome can cause a lot of pain and difficulty sitting for long periods. If your doctor has limited the amount of time you can sit or stand, you have a chance of getting disability benefits for piriformis syndrome.