No, Coinbase typically does not contact users by phone unless it's for specific support cases or verification, and even then, it's usually through official channels. Be cautious of unsolicited calls.
https://support.google.com/phoneapp/thread/308556951?hl=en&sjid=3158032804534946619-AP
https://support.google.com/phoneapp/thread/308556951?hl=en&sjid=3158032804534946619-AP
https://support.google.com/phoneapp/thread/308556951?hl=en&sjid=3158032804534946619-AP
https://support.google.com/phoneapp/thread/308556951?hl=en&sjid=3158032804534946619-AP
https://support.google.com/phoneapp/thread/308556951?hl=en&sjid=3158032804534946619-AP