Yes, Lee Harvey Oswald did work in a laundry at one point. In the early 1960s, specifically in 1963, Oswald worked at the Texas School Book Depository in Dallas, Texas. However, prior to his employment at the depository, Oswald did have various jobs, including working in a laundry. It is worth noting that Oswald's time at the Texas School Book Depository became significant due to his alleged involvement in the assassination of President John F. Kennedy on November 22, 1963.