Distance to a camera is not logged in or calculated by any camera that I'm aware of. This is an excellent question and is one worth answering.

Someone asked why do you want this information? There are many good reasons for calculating and logging distance between a camera and a subject. Perhaps the most important reason for needing this information is for consistency. Knowing how far away a subject is from the camera is important if you want to repeat the pose or shot and make a specific type of shot repeatable in any situation. Unfortunately the only way to achieve this is to do a physical measurement by using a tape measure or other measuring device and "Make" a physical record by writing it down on a piece of paper.

Distance information is critical if you want consistency in doing photography if you're doing portraiture or want to achieve repeatable affects when taking photos. No camera on the market creates accurate "Distance" metadata for any kind of photography, whether it's still shots, or video. That is probably because it's a bit complicated to incorporate into a camera and the complex algorithms would limit the camera's abilities and make it more complex to use than is really necessary.

In answer to the question, no there is not any metadata recorded into your camera for distance when you take photos. You need to do this physically by measuring the distance between your subject and the camera and then write and keep this information in a logbook. Hope this helps answer your question. I don't think this resolves your problem, but it might be a solution you're seeking.

One other suggestion: If you're shooting photos with a telephoto and your subject is a fair distance away, is to use a "spotting scope." Many expensive spotting scopes and a few of the economical ones have distance calculations built in and you can estimate the distance between you and a subject through the spotting scope. It doesn't provide accurate distance right down to the inch, but provides a close estimate on how far away a target is located. That's important information many hunters use, or people that do target practicing in order to achieve more accurate shots. It might actually be a good device to use in photography, but it's not one I've ever found a need to try.