If you have LED lights and they are not at 100% brightness, then yes, most likely.

This happens even with cheap non-dimmable lights. If you skimp on filtering in the power supply the LEDs will flicker, but not in a way that's visible to the eye, but very noticeable with a rolling shutter.

It is also very obvious to me when you open/close doors or move anything quickly across a contrasting background.

Yes.