No, not delusional. It is quite possible.
I am a solo player and currently have three moon operations - two of them in low sec.
All three of my refineries were found floating in space mind you, in one case complete with fuel and drilling rig. I did need to loot the last two components but picking up the athanors themselves came with no penalty. So, look around and perhaps save yourself some money. Otherwise, it will cost you about 1.2 B to set up.
The moon belt stays active for 2 days without rigs - 3 days with the 800 M rig. However, even over three days you will discover if you really, really like mining, as even jet-canning with a covetor/hulk will be a very active grind, and one that will still take the best part of three working days to extract the best value.
I currently don’t use my high sec refinery as there are too many other moons locally that are freely open so I just mine theirs. The low sec ones are both a work in progress. One is active as a reactions center (but I think I am running the wrong reactions) and the other one looks like it might be more useful as just a LS player structure for me. However, with any active service module also giving a huge boost to EHP, I might as well still drill as it costs me the same fuel to use it as to just leave it on anyway, and that way I can mine enough to at least cover my costs / make money when there is nothing better to do.