No. You cannot own a beach in the sense of having exclusive rights, but portions of beachfront can be privately owned property in Connecticut. Above the mean high tide line, private property rights apply to dry sand beach areas. However, below the mean high tide line, Connecticut beaches are subject to public ownership and access as part of the public trust doctrine. Private owners must accommodate public use rights to some extent, such as allowing access to the water. But the public does not have unlimited access across private dry sand beaches in Connecticut.