No. Your standard US bank account cannot support storing Bitcoin. You must withdraw it to a Bitcoin wallet.
You can withdraw your Bitcoin to other Bitcoin-custody partners, and we even encourage you to withdraw it to a vault set up by Unchained Capital.
Over time you should learn how to self-custody your own Bitcoin in your own wallet, but if you aren't comfortable doing that yet, you can just leave the Bitcoin in your Swan account, stored at Prime Trust.
For more information on Bitcoin wallets read here.