I am not sure to understand but
you can make the camera a child of a empty object.
when animating your camera all still happen
but you can chenge the position of the empty and all the animation of the camera
will be moved in space
Doing the same for time its not possible
because Keyframing is exactly fixing a value in time
you can still make interactive animation based on asset and collision
and these kind of things will react to your changes in time and space