Google's John Mueller said that having a high shopping cart abandonment rate is not a specific issue with ranking in Google. It is not a ranking signal.
The question asked was:
Can a high rate of shopping cart abandonment have a negative impact on a site's search rankings?
John Mueller responded on Twitter saying "no." He did add that "but what good are rankings if people don't buy?" True - true.
No .. but what good are rankings if people don't buy? pic.twitter.com/U1PbjEL50j
— John ☆.o(≧▽≦)o.☆ (@JohnMu) September 18, 2017
But no, Google doesn't measure your conversion rates for organic search ranking purposes.
Forum discussion at Twitter.