It can even be a problem if you do initiate the call. My mom got taken in by a scam where she googled "American Express phone number" and a scammer's website or paid ad (she isn't sure which it was) was showing at the top of the results with the wrong number.
Also possible if they gave malware on the computer, and it modifies search results in the browser. That’s always seemed like a serious vector although I haven’t heard much in the way of in the wild exploits.
It is, which means it targets higher net worth individuals. I just listened to a darknet diaries episode where they talk about how much these attacks cost to execute - some are $10-100k per target.