Oral means spoken, so no. But it can be written down later, at which time it is written history, not oral history.

oral history = mündliche Geschichte

Oral History Society was created in 1973.

An organization that collects oral history. Oral history makes use of the testimonies of individuals as collected through an interview usually conducted by a reporter or historian and uses the insight from the interview to add perspective to historical research.

An example of a oral history organization would be the Center for Oral and Public History at Cal State University Fullerton.

One possible sentence for oral history could be: "My grandmother shared captivating stories about her experiences growing up during the Great Depression for our family's oral history project."