Yes, you will need two parts to connect two computers to one printer.
Item # PS-PS121

• Used to network one USB enabled printer to an Ethernet network
• Small form factor saves valuable desk space
• Smart Wizard install assistant makes it simple to install on all popular versions of Microsoft Windows
• LEDs provide at a glance system status for ease of management
Item detail page: http://www.l-com.com/item.aspx?id=8040
Item datasheet: http://www.l-com.com/multimedia/datasheets/DS_PS-PS121.PDF
Item # SWTC -FS105NA

• Used to connect multiple PC's to form an Ethernet LAN or can be used to extend Ethernet LAN
• Auto-negotiating ports automatically adjust network speeds, no user interaction is needed
• All ports support MDI-MDIX auto crossover, either straight or cross pinned Ethernet cables can be used
• LEDs provide at a glance system status for ease of management
Item detail page: http://www.l-com.com/item.aspx?id=6007
Item datasheet: http://www.l-com.com/multimedia/datasheets/DS_SWTC-FS105-8-16.PS.PDF