Conn. Gen. Stat. § 46b-351: Establishment of support order.

(a) If a support order entitled to recognition under sections 46b-301 to 46b-425, inclusive, has not been issued, a responding tribunal of this state with personal jurisdiction over the parties may issue a support order if (1) the individual seeking the order resides outside this state; or (2) the support enforcement agency seeking the order is located outside this state.

(b) The tribunal may issue a temporary child support order if the tribunal determines that such an order is appropriate and the individual ordered to pay is (1) a presumed father of the child; (2) petitioning to have his paternity adjudicated; (3) identified as the father of the child through genetic testing; (4) an alleged father who has declined to submit to genetic testing; (5) shown by clear and convincing evidence to be the father of the child; (6) an acknowledged father as provided by section 46b-570; (7) the mother of the child; or (8) an individual who has been ordered to pay child support in a previous proceeding and the order has not been reversed or vacated.

(c) Upon finding, after notice and opportunity to be heard, that an obligor owes a duty of support, the tribunal shall issue a support order directed to the obligor and may issue other orders pursuant to section 46b-331.