No.

Section 23-4-1.(c) Hunting/weapons. Hunting or carrying of firearms, archery equipment or other weapons, including but not limited to air rifles and slingshots, is not permitted in any state park or forest except as authorized by the Department of Environmental Protection. All carrying or use of weapons is subject to applicable provisions of the Connecticut General Statutes and regulations adopted thereunder.

The only authorized use of a pistol on DEEP owned/controlled land is for hunting small game, then it has to be a .22 or .17hmr.