There is a post-disaster price-gouging law in California preventing just this from happening. Rent is included.
https://oag.ca.gov/consumers/pricegougingduringdisasters#8C1
"Violations of the price gouging statute are subject to criminal prosecution that can result in one-year imprisonment in county jail and/or a fine of up to $10,000. Violations are also subject to civil enforcement actions including civil penalties of up to $2,500 per violation, injunctive relief and mandatory restitution.
The Attorney General, local district attorneys, and private individuals can bring actions for violations of the statute."
I’m more and more convinced that the plan is for anyone who isn’t a billionaire to just die, and they’ll figure out how to replace us with AI