What are Automatic Garage Door Options for a Garage with a Low Ceiling Clearance?
One of the custom door manufacturers should be able to make you something.  Yes, it's not a typical application being that small, but there's no major issues in the design.  Doors are assembled from panels, so they can select the right size and quantity.  Track frequently has to be cut down to fit anyways.  Custom springs are no big deal (a surprising percentage of what's out there is custom).

However, you're not going to be able to walk into a local big box hardware place and pickup off the shelf components to DIY.