Can I save stuck bitcoins by creating a completely new transaction? I tried to make a bitcoin payment but accidently set a too low transaction fee so it got stuck. By now the payment is cancelled so I don't want to do this transaction anymore.

Can I now instruct my bitcoin adress to send the bitcoins somewhere else (instead of the stuck transaction) by broadcasting a completely new transaction? I used Bitcoin Core for the initial transaction.

P.S. Nobodys waiting anymore for the initial paymant so I'm not trying to scam anyone here.
Of course you can do it as long as the previous transaction does not get confirmed.