Most CMOS imaging sensors in digital cameras do scan, but not like a push-broom sensor. The push-broom sensor only has a single line of pixels that physically moves (or that something moves across), like in a scanner or a photocopier. But as others have said, those sensors might also be fabricated with CMOS technology.

Whereas your normal digital camera has a fixed rectangular array of pixels, and the scanning is just reading them progressively (what's called 'rolling shutter') because it's hard to read them all quickly enough at once. Some more expensive sensors do 'global shutter' which usually has better motion characteristics for video.