Does every system have an Oort cloud?

Could you elaborate on whether the concept of an Oort cloud, which is commonly associated with our solar system's icy comets residing at its farthest reaches, applies universally to all celestial systems? Are there systems that may lack such a structure, or are there alternative phenomena that serve similar purposes in other cosmic environments? It's intriguing to ponder the extent of the Oort cloud's prevalence and its significance in shaping the dynamics of planetary systems.