Not exactly.... but you can adjust it....
When you add apple sauce, for instance - you are in fact adding more water to the dough. Even if you substitute butter for oil, there will be a slight difference in water content, because butter is not pure fat.
So, if you are baking bread with a particular hydration in mind, you will need to reduce slightly the water in the dough, or add a little more flour to compensate for the higher moisture in apple sauce or mashed bananas.