No.  It doesn't support HDR.

From Apple's [Tech Specs for the MacBook Pro][1] it supports "[Wide Color P3][2]"

[HDR][3] (Rec 2020 or BT 2020) is a color space "outside" P3 (as in more color).   So, purchasing an HDR monitor now, you wouldn't be able to utilize it to it's full capability

[![RGB Color Spaces][4]][4] 

To utilize HDR, you would need a capable monitor, source and content and unfortunately, 2 out of 3 just won't get you there.


  [1]: https://www.apple.com/macbook-pro/specs/
  [2]: https://en.wikipedia.org/wiki/DCI-P3
  [3]: https://en.wikipedia.org/wiki/Rec._2020
  [4]: https://i.sstatic.net/v437k.png