Hi @devonorourke,
No, it looks like there is no way to download those values. I would raise an issue for this, but I think there are two reasons why the data aren't available in that visualization: 1) this would be a lot of data to store in that visualization, as there would be many, many points, and 2) those data would just be redundant, since they are the exact same data that you have in your distance matrices.
You should be able to replicate this easily enough in R (or python): load both matrices and flatten them to 1D arrays, merge into a 2D array based on the index, and rock and roll.