No, not all science fiction shows and movies accept subluminal (faster-than-light) space travel as normal. Science fiction is a broad genre, and different stories and creators often explore a wide range of concepts and possibilities for space travel.
While some science fiction works do incorporate faster-than-light travel as a common aspect of their fictional universes, there are also many that employ different concepts or limitations on space travel. Some stories may feature slower-than-light travel, where interstellar travel takes significant time or generations to accomplish. Others may explore concepts such as wormholes, warp drives, or hyperspace as means to bypass the limitation of the speed of light.
Science fiction often takes creative liberties with scientific principles and theories to create compelling narratives and explore imaginative scenarios. The depiction of space travel in science fiction is not bound by real-world constraints, allowing authors and filmmakers to invent their own rules and technologies for interstellar travel.
Ultimately, the inclusion or absence of faster-than-light travel in science fiction works depends on the specific story, its setting, and the creative choices made by the authors or filmmakers.