Yes that is possible using photogrammetry like @SimonF mentioned in his comment. There is plenty of commercial and free software. Peter Falkingham has a great blog with many reviews mainly for the free tools.
Here is a video of scanning a mountain using my favourite open-source solution. Specialists do much more extreme scanning using their tools, the resulting Matterhorn point-cloud dataset is used by some of my research colleagues as well.
To cover a mountain, you will need a lot of photos. Depending on the peak size and required precision you may end up with thousands to hundreds of thousands of photos. To process all of them, it needs a lot of RAM and powerful GPU(s). I did a reconstruction for 10k photos on a Ryzen 2700X with 64 GB Ram and a 1080 Ti inside... it took 10 days to complete.
There are two critical phases:
Alignment to create the sparse point cloud is partly CPU-based and requires a lot of RAM. Once the system starts to swap to the HDD, you've lost.
Patch-match for the dense point cloud heavily uses the GPU and takes most of the reconstruction time.
In ideal case all photos would be taken in exact the same moment. When you fly around it takes time and the sun moves. Shadows change. That is often a problem at reconstruction so cloudy days are generally better. Try to get all footage on one day and as fast as possible. The atmospheric conditions may change the next day(s). I hope there is no snow and no water, those are the most difficult to reconstruct due to reflections :)