From that angle it looks like the most generic printer ever? Broadly speaking its size, profile, and the position/layout of the control panel are a *lot* like an Epson MX-80, IBM Graphics (relabeled MX-80) or early FX-80-series printer. I don't think it necessarily *is* one, because:
A: Epsons usually had a promenent badge on the left front side, and
B: The shape of the case isn't quite right for an MX/FX-80...
But I wouldn't rule out it being a later model? Even within the same model Epson would vary details like the shape and transparency (or lack thereof) of the plastic cover on top. It's probably an just an "Epson knockoff", but unless you can dig up some illustrated catalogs you're going to have a heck of a time figuring out which one. By the mid-80's there were at least a dozen manufacturers making or rebranding similar printers; Star Micronics, Mannesman Tally, Brother, Olympia, Panasonic, Seikosha, NEC, Toshiba, Fujitsu... the list literally goes on and on.
PC Magazine ran an annual printer review issue from the mid-1980's onward and their whole archive is on Google Books, so if you're really dying to know you could go through that and look at all the pictures until you find it, your chances are pretty decent. But... gotta be honest here, does it matter? I positively guarantee it's not an "interesting" printer.