Issues such as missing key files, software conflicts caused by cookies, pending restart, access denied by firewall or antivirus can cause chrome to not get updates.
These are very basic problems and you can fix them up in no time following the solutions below:
1. RE-INSTALL GOOGLE CHROME
2. CLEAR COOKIES
3. RESTART YOUR COMPUTER
4. DISABLE YOUR FIREWALL OR ANTIVIRUS
5. CHECK SYSTEM REQUIREMENTS
This should be able to resolve your issue. If you need help or a guide on how to properly carry out these actions, you can get that here>>
https://pcnmobile.com/google-chrome-wont-update-android-windows.