Can the client transfer the close-out funds from a Quontic Certificate of Deposit(CD) into another CD held at a different institution?

No.

Quontic can only transfer the closeout funds from a CD into a liquid account.

Checking

Savings

Money Market

See CX- All Closeout SOP for close-out procedures

SOP-CX-All-Account-Closure-V-1.0 Download