Your link 'macOS High Sierra - Technical Specifications' says I need a mac mini mid-2010 or later, 2GB of memory and OS X 10.8 or higher. The mid-2010 mac mini has a Core 2 Duo, like the 2009 model, and 2GB of memory. This site, https://en.wikipedia.org/wiki/Mac_Mini, says I can expand the memory in the A1283 model to 8G, "4G supported by Apple" (not sure what that "supported by Apple" bit means). Hardware-wise, it seems that I should be OK for High Sierra, although the aforementioned link says mid-2010. In fact, I don't see much difference in the hardware specs between 2009 and mid-2010 except the 2010 processor is running at 2.66GHz instead of 2.0GHz and the OS is 10.6.4 instead of 10.5.6. According to the Wikipedia link, 10.5.6 (Leopard) is upgradable to 10.11 (El Capitan).
This link, https://www.apple.com/macos/how-to-upgrade/, says I should be able to upgrade from Leopard to High Sierra by first upgrading to El Capitan.
woodmeister50: Yes, I'm trying to avoid completely wasting my time, but for testing I don't need something very powerful (although I do need the latest OS version). I'm willing to take a risk to try what I've asked about. I can get a refurb mac mini for $130. Even if it doesn't work out, I'm not out much money. Seems worth the risk to me unless experts in this community tell me it can't be done for thus-and-so reasons.