GI1
Yes. Google Camera has that. They call it "Top Shot," which tbh is a strange name that makes no sense, but it's essentially the same thing as the Apple Live photos.
The description of "Top Shot" is (from within the GCam app):
When Top Shot is on, Pixel includes a short video to capture more of the moment. Pixel will suggest frames that are worth saving. You can also select your favorite frame.