Even with really quick exposures? I've taken pictures of the sun before (before, during, and after last year's eclipse) with my cell phone camera and it seemed fine.
Edit: added link [0] to lensrentals.com story about gear damaged during solar eclipse of 2017.
Your cell phone camera has a wide angle lens. it's at the longer focal lengths where one might expect sensor damage, or even melt the curtains of shooting directly into the sun when high above horizon.
Your cellphone camera lens likely doesn’t have the requisite light-gathering capacity to burn out the CMOS image sensor in your phone. CCDs (commonly used in DSLR/M43 cameras) are far more sensitive, as I understand it.