No, there is no such feature, but you can vote/comment in the relevant feature request thread (“Adding Biometric/PIN authentication with Master password re-prompt”).
Could you provide some more detail about your set-up? What type of device and operating system is this on, and are you doing all of the above (locking, tapping unlock, entering biometrics) in the Bitwarden Desktop App?
Is there a reason that you prefer the desktop app over the Bitwarden browser extensions and mobile apps (both of which are more commonly used than the desktop app)?