So I just got in touch with Kabekew and he said he doesn't recognize the last name, but that he did contact Rick sometime in 2024, so I don't think this is the same Rick that used an HDR.
He actually went to 2059 and stayed there for 15 years before coming back to the present, though his age didn't change when he came back.
From the sounds of it, the time machine has a handlebar that you hold onto in order to travel through time, so I don't think it's an HDR either, it sounds like a legitimate time machine. The only thing I'm unsure of is whether or not the machine go bring people back to the past, so I'd have to ask Rick or one of the other Shamans (yes, there's apparently multiple Shamans that can time travel) if it's possible to travel backwards in time or if the machine only works to take people to the future.