This is a physicist level experiment, and its benefit over established methods disputed, and even Wikipedia says that it's performance benefit over MIMO are nonexistent to negligible.
So, no. Not in any realistic way.
Also, orbital angular momentum is a result of the mode of the electromagnetic wave and its propagation. Hence, if you want to use it, you'd need precise control of the mode.
You can (maybe) do that (at high effort) for light (which is also an electromagnetic wave) in a glass fibre (which is a waveguide). Cross-mode talk is a thing in the finely controlled environment of a fiber, still.
You can certainly not do that reliably for HF in propagation over a medium as inconsistent as the air, with boundaries varying in material and shape as the earth and ionosphere.
So, no. Totally different realm in which this highly immature thing is happening.
I find it kind of entertaining that someone would mention this moonshot technology in the context of HF communications in amateur radio applications.
I find it hard to find any area of hobbyist technology usage where the difference between the actual state of the art and the way the technology is used is as large as in HF communications done by amateur radio enthusiasts. Seriously, there's 60 to 90 years between what science and commercial technology can do, and what the average ham operator on HF does. Maybe we should catch up these decades, before you start following methods that try to improve upon what can be done so far.
That starts with retiring all analog modes, and all transceivers that are basically AM or SSB devices in favor of proper devices that can deal with both sides of a spectrum. Then, application of modern modulation, channel sensing and synchronization methods. Going for modern channel codes. Classical MIMO. Proper network and routing protocol design. Lobbying against counter-productive rate-limiting and legacy-mode-preserving regulation. Requiring a minimum effective spectral efficiency, especially for higher-powered transmitters.
Things like FT8 are a start. They tackle maybe half of these points.