They probably do, in a way.

The typical reaction of a baby will be to start crying loudly, which will alert the rest of the tribe that will then make life uncomfortable for the offender. So part of a more complex social fight response.

I have also seen babys suddenly become very quite and lay completely still when startled by a situation that confuses them and that they can’t sort out yet.
Seems to me to be some kind of hide response, nearest they can do to taking flight.