Yes. The Conneticut Pistol Permit is recognised by a small number other states. States that recognise the Connecticut Pistol Permit may change at any time. Always research the destination state laws as you will be subject to THEIR state laws when carrying in that state.
Currently (as of 1/2/2013) the following states honor the Conneticut Pistol Permit:
AK*, AZ, IA, ID, IN, KY, MI, MO, MS, MT, NC, NE, OK, SD, TN, TX, UT, VT*, WI,
* Vermont, Alaska & Arizona: Anyone who can legally own a firearm can carry it concealed. No Permit/license is required. Must be 21 Y/O.