To truly appreciate the dialogue you are reading in English subtitles, one must understand the reality the film attempts to depict. The movie is based on the true story of Florence Rey and Audry Maupin, though names and specific details were changed for the cinematic adaptation to focus more intensely on the psychological romance rather than the action-thriller elements of the actual event.
The answer is an emphatic .
Here is a blog post exploring why this film continues to spark conversation. Forbidden Walls: Why You Should Watch "Down by Love"