The answer to this question depends on how one defines "outer space". If "outer space" is considered to be the vacuum that exists between celestial bodies, then based on our current understanding of the universe, there is nothing beyond outer space in the sense of a physical realm or place.

The currently known universe is considered to be finite and has boundaries, but these boundaries are not physical in the traditional sense. Instead, the boundaries of the universe are thought to be related to the concepts of space-time and the curvature of the universe.

Beyond the known universe, some theories suggest the possibility of other universes, parallel dimensions, or multiverses. These concepts are speculative and remain areas of active research and exploration in cosmology.