Unfortunately, the answer is NO. you cannot transfer your amazon gift card balance. Amazon's terms and conditions included a few prohibited activities which restricted what we can do with our gift cards. Which include:-
Transferring the balance to your account not even debit or credit card
Transferring the balance to another amazon account once the claim code is redeemed.
Using the balance of a gift card to withdraw funds from a bank account.
You cannot even transfer gift card amounts to online payment apps like Paypal, amazon pay, etc