Can I change the shipment lane after shipment creation so shipment distance changed also ?

The Case is:

We have Source Location (X) & Destination Location (Y)

From X to Y we have 2 Lanes ("Lane X1" which is 100 KM & "Lane X2" which is 110 KM) Their is 2 Routes for the trip that takes from "Location X" to "Location Y" but with different distances.

What I need right now is to change the Lane after creating the shipment as the driver decided to go through the other route.

So I created 2 Rate records, one is associated with "Lane X1" and the other is associated with "Lane X2", In my opinion if I changed the rate record after creating the shipment the Lane will also changed and the shipment "Loaded Distance" Field will be updated with the new distance value of the other Lane but Unfortunately it keeps as it is.