Yes, unless their landlord is able to evict them for whatever reason. (And, to be clear, all or essentially all rental units in SF are subject to rent control).

Here are the major exemptions to Rent Control in SF:

1. You live in a building constructed after June of 1979.

2. You live in subsidized housing, such as HUD housing projects.

3. You live in a dormitory, monastery, nunnery, etc.

4. You live in a residential hotel and have less than 28 days of continuous tenancy.

So most of the new developments in the last 30 years aren't covered by RC.

I hadn't realized the post-1979 thing! Sorry for the misinformation above. I guess that every place I ever considered renting in SF was an older building.