printer and print server

The short answer is, no.

Many common low-end (read: cheap) printers are what is called "GDI printers" or "WinPrinters", meaning that the computer they are attached to does most of their thinking for them.

Often, a tip-off is to visit the vendor's site for the printer and see if they offer an print server option for the printer in question. If not, then it's likely that the printer doesn't work on a print server.

HTH