Yes the solution you need is surely realizable, there are many ways to do it.
RS485: All systems are connected by using a two wire RS485 serial connection, the communication is done with a modbus RTU protocol. In this way the HMI is the master and all the SlimLine are slaves. The HMI reads/writes variables on the various SlimLine and displays the data. An object called DataTransfer can be used to transfer data between the slave systems (Obviously the transfer is made by the HMI that is the unique master).
Ethernet: All systems are connected to a LAN the communication is done with a modbus overIP protocol. The HMI is the master and all the SlimLine are slaves, but more than one communication can be done over the LAN, so the SlimLine can communicate between them by using the UDPDataTxfer function block.
The ethernet solution is the most powerful, by using the LAN you can also program the various systems (HMI and SlimLine). It’s possible to remotely access to the HMI by using a VNC client. It’s possible to load web pages on the SlimLine systems by using a FTP connection and display them with a browser.