Yes, San Francisco has rent control. However, the SF South Bay Area does not contain SF. It is usually considered to contain around twenty cities and towns, only four of which currently have rent control: East Palo Alto, Los Gatos, Mountain View, and San Jose.
https://en.wikipedia.org/wiki/Santa_Clara_Valley#Cities_and_...
https://www.tenantlawgroupsf.com/blog/2018/november/which-ci...