In Life360, you have the option of turning off location sharing through settings. This way, your circle will see the notification that you are not available and the only location detail they can obtain is your last location before turning it off. Your circle will therefore become suspicious.
If you want to turm off location on Life360 without anyone knowing, you need to use a dedicated location spoofer tool like TailorGo. With such a tool you can intelligently teleport to other locations you want to show to others. TailorGo can make the movements so natural that no one in your circle will doubt.