Hi David Kibet,
Welcome to Microsoft Community.
In your description, your HP computer's fingerprint sensor is not working and you haven't found a driver for it.
Please download the driver from the link below and install it on your computer to see if you can use fingerprint recognition normally after that.
https://support.hp.com/us-en/drivers/hp-elitebook-840-g2-notebook-pc/7343202
Disclaimer: This is a non-Microsoft website. The page appears to be providing accurate and safe information. Watch out for ads on the site that may advertise products frequently classified as PUP (Potentially Unwanted Products). Thoroughly research any product advertised on the site before you decide to download and install it.
If the fingerprint recognition still does not work after installing the new driver, please refer to the following steps to try to reset the biometric service
Open the "Services" panel and stop the biometric service.
Press Win + R to open the Run dialog box.
Type services.msc
Select Windows biometric services from the left column
Right-click on it, then select " Stop" from the list that appears
Open Explorer
Navigate to C:\Windows\System32\WinBioDatabase
Rename the .DAT file to a .DAT.BAK file.
Open the "Services" panel and start the Biometrics service.
Press Win + R to open the Run dialog box.
Type services.msc
Select Windows biometric services from the left column
Right-click on it, then select " Start" from the list that appears
See if the same problem occurs after the reset.
If the problem still persists, then there may be a hardware failure in your fingerprint sensor, please contact HP support via the link below so that they can perform further checks on your relevant hardware.
https://support.hp.com/us-en/contact
Disclaimer: Microsoft provides no assurances and/or warranties, implied or otherwise, and is not responsible for the information you receive from the third-party linked sites or any support related to technology.
We hope your issue will be resolved and thank you for your understanding and support.
Best regards,
Zev - MSFT | Microsoft Community Support Specialist