Yes, but for game storage only. The PS4/PS5 will format the drive automatically. You do not need a driver.
Drivers act as intermediaries between an operating system and a hardware device. They translate the operating system's requests into a language that the device can understand, allowing for efficient communication. Without the correct driver, a device may not function properly or may not be recognized by the operating system. This underlines the importance of having the correct and up-to-date drivers for any device. techcom ssdbt819 driver download link
Most modern operating systems (Windows 10/11) can automatically detect and install drivers for USB Bluetooth dongles. Plug the into your USB port. Open Device Manager (right-click the Start button). Look for "Generic Bluetooth Adapter" or " BCM20XXXXX Yes, but for game storage only