Ink delivery is likely the main challenge (although I've seen some low-res attempts), combined with the speed and precision needed for a good printer - reaching a few hundred DPI requires positioning things quite precisely. Laser printers are interesting, but then you need specialized parts like the drum that I'd expect to be difficult to produce in single quantities.
Open pen plotters are a thing, but again not typically used for normal printing duties.
Something pen-plotters don't do (they typically want paper to be placed down for them, or work of a roll of paper), and the maybe 3D-printer equivalent of preparing the print bed and removing prints from it is a well-known source of problems and manual work.
Nobody would accept a 2D printer that took manual intervention every sheet.