Yes, you can connect multiple 1024 to the same computer and control them in the same program.
For a list sample code in a variety of languages, check the Software Overview
page on our wiki. For a general guide on using multiple Phidgets, there is a section in the General Phidget Programming
Also, if you are planning on using multiple RFID readers, placing them too close together will cause interference when reading tags. You could work around this problem by rapidly "polling" each 1024 by turning the antenna on, checking for tags, and then turning it off in sequence. Of course, this will lengthen the amount of time it takes for your system to read a tag, since you may have to wait for the nearest reader to become active.