A high bar to leave over noise
Sometimes, but it is a high bar and depends on the facts. California law may let a tenant move out when a serious, ongoing problem the landlord is responsible for makes the home effectively unlivable and the landlord fails to fix it — but everyday noise rarely reaches that level.
The strongest cases involve severe, persistent noise that the landlord had the power to stop — such as another tenant repeatedly and seriously violating the lease — where you gave written notice, the landlord failed to act, and the disturbance substantially interfered with your ability to live in your home. This connects to the idea of a breach of quiet enjoyment or "constructive eviction."
Noise the landlord cannot control, like street traffic or a neighbor in another building, is a much weaker basis for breaking a lease.
Moving out without meeting the legal conditions can leave you owing rent, so documentation and timing are critical. Before you give notice, it is smart to confirm your situation qualifies. A free, confidential review can look at your facts and help you decide.
This is general information about California tenant rights, not legal advice. Every situation is different.