Yes, the GPIB-ENET/100 can handle multiple TCP connections.
To safely access the same GPIB-ENET/100 or GPIB-ENET from multiple applications on one or more computers at the same time, use the iblck function. The iblck function prevents one application from interrupting a call made to the GPIB-ENET/100 or GPIB-ENET from another application. Without it, one application could cause an I/O operation initiated by another application to abort or cause other unexpected behavior.
Check the NI-488.2 User Manual for more details:
http://www.ni.com/pdf/manuals/370428a.pdf
Winston L.
National Instruments