Yes, looks like a printer switch box ( Which would do the job as well, but have to be switched each time you wanted to use the other printer. Switch on front (A-B) and three connectors on the back (A-B-C) ( 1 in, 2 out OR 2 in, 1 out)

Network of 2 computers, 1 printer requires a router. But you can get by with an older one ( obsolete, but more than fast enough) should be under $10 on the used market.