Almost any sewer pipe can be lined if it still holds its shape and gives the liner a continuous path. Most common materials take a cured-in-place pipe (CIPP) liner, including cast iron, clay, concrete, PVC, and often Orangeburg. CIPP is material-agnostic because it forms a new pipe inside the old one.
The deciding factor is the condition of the pipe, not the material. Standards for cured-in-place pipe lining, including ASTM F1216, separate a partially deteriorated host pipe, which still holds its round shape and is supported by the soil around it, from a fully deteriorated one that has lost its shape or has sections missing. The liner needs enough sound pipe to cure against.
Some pipes cannot be lined. A fully collapsed pipe leaves no open channel for the liner to pass through, and missing sections or a wide offset joint give it nothing continuous to form against. A severe belly, where the line sags and holds water, is a separate problem, because a liner follows the shape it cures against and cannot rebuild a lost slope, so whether lining helps a belly depends on the sag. Badly deformed Orangeburg often falls here too, which is why whether Orangeburg can be lined is judged case by case.
The only way to know if a specific pipe qualifies is to look inside it. A camera inspection shows whether the pipe holds its shape and offers a clear, continuous path, which settles the question before any liner is ordered.