Due to the folding stock it would not be permitted. See subsection (b)(2) below: The crossbow shall have a permanent fixed rifle type stock To make it legal the stock would need to be a one piece stock.

Here's the regulation that details crossbows:

Sec. 26-66-1 Behavior and actions of hunters

(a) The method of taking wild birds and wild quadrupeds by hunting shall be restricted to firearms, high velocity air guns using a single ball or pellet type projectile, and compound, long, or recurved bow. In designated areas, by special permit, the commissioner may allow the use of modified versions of air guns or archery implements to achieve wildlife management objectives. No arrow or projectile which is coated with or contains any drugs, poison or known tranquilizing substance may be used or possessed while engaged in archery hunting.

(b) Use of crossbows is prohibited, except during the January bow and arrow season on private land in deer management zones described pursuant to section 26-86a-6(b) of the Regulations of Connecticut State Agencies or except that a person who has a permanent physical disability to the degree that he or she cannot operate a long, recurve or compound bow may obtain a permit to take deer or turkey with a crossbow. A person applying for a crossbow permit under the disability provision of this section shall show proof that he or she has successfully completed the Connecticut conservation education/firearms safety advanced bowhunter education course or its equivalent and present a certificate from a licensed physician that he or she is so disabled. Upon satisfactory proof of disability, the commissioner may issue such a permit under this section which shall be carried at all times while hunting. Such permit shall not be a replacement for and is valid only with any license or permit required for archery hunting under the provisions of chapter 490 of the Connecticut General Statutes or regulations promulgated there under.

Any crossbow and bolt combination to be used for hunting as permitted under this subsection shall meet the following specifications: (1) The draw weight of the crossbow shall be not less than 125 pounds nor more than 200 pounds; (2) The crossbow shall have a permanent fixed rifle type stock, and a functional and/or fully operational mechanical safety device; (3) The bolt (arrow) length shall be not less than eighteen inches, excluding the broadhead; (4) The bolt weight shall be not less than 450 grains, including the broadhead; (5) the broad head shall have two or more blades with a width not less than seven-eighths of an inch at the widest point. In addition, any crossbow in a drawn and cocked position shall be considered a loaded weapon, whether or not a bolt is loaded on the crossbow.