Not quite. It’s a new transaction that spends an unconfirmed output from your prior transaction (parent) that is still pending in the mempool. The higher fee on the new transaction (child) incentivizes the miners to mine both transactions. I would Google/Whoogle/Search how to do a CPFP tx with whatever wallet software you are using. It’s going to be a different flow depending on the software and how much the software automatically handles crafting the transaction.