I thought this was Klaus Schwab, too, but on further investigation the phrase appears to come from an essayist Ida Auken. You can find this around the web on Wikipedia under "World Economic Forum" and also "You'll own nothing and be happy" and the Reuters website as a fact check.

In addition, even though the World Economic Forum removed the articles, you can actually still read Ida's publication on the World Economic Forum's website taken from the Wayback Machine archive of the Internet on November 25, 2016: https://web.archive.org/web/20161125135500/https://www.weforum.org/agenda/2016/11/shopping-i-can-t-really-remember-what-that-is/

It's a dystopian article, but it's meant to be:

https://edri.org/our-work/enditorial-happiness-owning-nothing-no-privacy/

The link about predictions is also down, but it can be viewed from November 25, 2016, and it does say predictions as well: https://web.archive.org/web/20161125144156/https://www.weforum.org/agenda/2016/11/8-predictions-for-the-world-in-2030/

Now.... do world organizations have a plan to do some of these things? That I am not questioning. I think we have plenty of hints that things are going at least in that direction. But as far as who said that phrase and for what purpose, that's why I am commenting.

I honestly thought Klaus said that too until today and I started diving deeper.