Hey,
Based on the error message it seems the issue might be w.r.t SSL certificate so 1st step would be to compare the SSL/TLS across both the servers. and links provided by @ShaikMaheer-MSFT would help in that
In case if they are same, would suggest to monitor the traffic across both the server when trying to access GCP Big Query.
You might get the exact cause of failure which can be like :
- Firewall blockage
- some missing set up like Big query need Google_base set up as a signature
etc.