It definitely cannot do full duplex from ladder logic. Half duplex is POSSIBLE, as long as the turn-around time from the remote device from sending to receiving is SLOW enough that the PLC ladder logic scan can switch from a PRINT statement to an AIN instruction. Both instructions can NOT be active on the same PLC scan (hence the limitation).
So you must detect that the PRINT is finished, then activate the AIN instruction, and I am guessing this could take up to 2 PLC scans (i.e. the port sends the last character just AFTER the SP Active bit was assigned, so it must finish THAT scan, come back around, detect the PRINT is finished, enable AIN on THAT scan, but the hardware isn't hooked until the end of THAT scan???)
We're talking a SINGLE BIT of a SINGLE CHARACTER, not a packet BTW. So 2 PLC scans (say it's 10ms), that's 20ms, at 9600 baud is a LONG time to possibly miss a single bit of a single character.
If you can control a delay in the response by the remote device, that would be your best bet.
If your rempte device supports Modbus or DirectNET, then you do not need to do your own port protocol control via ladder logic, just utilize the built-in protocol support.