Generally, no. Once a cashier’s check is issued, the bank that issued it is the party obligated to pay it, and it may pay anyone entitled to the check when it is presented. The main legal exception under the Uniform Commercial Code (UCC § 3-312) is a cashier’s check that has been lost, destroyed, or stolen.
To use that rule, the remitter (the person who bought the check) or the payee sends the bank a request that describes the check and includes a declaration of loss. That is a statement, made under penalty of perjury, that the person lost possession of the check and cannot reasonably get it back. The bank may also ask for identification. The claim only takes effect on the later of the day it is made or the 90th day after the date on the check. Until then, the bank may still pay the check, and that payment ends its liability. If the claim takes effect before anyone cashes the check, the bank pays the claimant instead. If the check later turns up with a holder in due course, the claimant must refund or pay that amount.
Image: Cashier’s check, National Bank of Commerce in St. Louis, 1907, public domain, via Wikimedia Commons.