Hi aedan.d,
To describe the whole problem from the start will eliminate some options or even open up some new ones. Anyway, it leads to better readability, which I like to have for everyone here. Thanks for considering.
Here is an idea, but be aware the problem is typically more complicated when fractured objects in different distances should be moved individually but equally while also being progressively affected by a time-based unfolding of information. This is true even more so in the example file below. Based on that, the object gets pushed in one direction and loses contact with the influence.
Below, the effect pushes the chunks of the Fracture away, based on the “grow” inside the MoGraph Weight map field. While being pushed, the distance/progress of the growing changes at that exact moment. I chose it anyway, as any exploration with gradients leads only to the conclusion that objects in different distances can’t be controlled progressively in a similar way.
This sounds cryptic as long as you have not explored the files. I hope my words will make sense after that.
Example
https://www.amazon.com/clouddrive/share/tFlvuf8L4Gnzym8ZiUdGfNxS5yLG8H09fQkFJSURSak
All the best
Below is a gif, please click on it. (Observe the red dots turning yellow.)