so basically what I want to do is have the exact distance between my Camera and an object, preferably in the metric system, for every frame of my animation. I have been looking into the camera properties but can not seem to find anything for that, i have managed to change the units to metric but that's about it.
You can use the "MeasureIt" add-on: enable it from the user preferences.
Then select your two objects and, from the left panel of the 3D viewport (T), look for "MeasureIt" and click on "Link" under the "Add measure" box. Then hit "Show" to visualize it, if it isn't displayed already.