Yes. The Connecticut Permit to Carry Pistols and Revolvers currently allows individuals in possession of a valid permit to carry their handgun openly or concealed.
However, individuals who expose their weapons regardless of circumstance(s) may be confronted by members of the public and/or members of law enforcement who see or become aware of the firearm.
Individuals who intentionally engage in overt acts while carrying a firearm may find themselves facing arrest by law enforcement if the circumstances justify an arrest.
There are currently many private citizens and members of law enforcement who are currently unaware of the fact that open carry is permitted in Connecticut.