It depends on the type of wallet you use.
If it's a custodial web wallet like coinbase, blockchain.com, freewallet or exchange, they may charge you a flat fee for withdrawal which is usually very expensive and exaggerated.
If it's a noncustodial wallet, it might entirely be up on the way they estimate fees.
Certain noncustodial wallets like electrum can let you pick a specific fee rate with which you want to send the Bitcoins rather than use the estimated optimal fee rate based on the last few confirmed blocks. This can in most cases prove a cheap way especially if the mempool is almost empty.
Right now if you check out mempool explorers like
https://mempool.space. The fee rate is not that high. You can use it to estimate which fee rate you would like to use for your transaction.