Yes, "A League of Their Own" is based on a true story. The film, released in 1992, depicts the formation of the All-American Girls Professional Baseball League (AAGPBL) during World War II when many male baseball players were enlisted in the military. It highlights the experiences of women athletes who played professional baseball, focusing on characters inspired by real players. While some characters and events are fictionalized, the film accurately captures the essence and significance of women's contributions to sports during that era.

"A League of Their Own," directed by Penny Marshall and released in 1992, is often interpreted as having queer themes, particularly through the relationship between characters Dottie Hinson (Geena Davis) and Kit Keller (Lori Petty), as well as the character of Doris Murphy (Rosie O'Donnell). The film subtly explores themes of female empowerment, camaraderie, and the complexities of women’s relationships during the WWII era. While it doesn’t explicitly label these relationships as queer, many viewers and critics highlight the underlying subtext, contributing to its legacy as a film with LGBTQ+ resonance.

As of October 2023, "A League of Their Own" is available for streaming on platforms like Amazon Prime Video and Paramount+. Availability may vary by region, so it's a good idea to check your local listings. Additionally, it may be available for rental or purchase on services like Google Play or iTunes. Always check the specific streaming service in your area for the most accurate information.