You can do this by using a micro controller with RFID tag reader. Because micro controller has the ability to store multiple tag in EEPROM (electrically erasable programmable read-only memory).
The Passive UHF RFID multi-tag is handled by means of the EPC Gen-2 Protocol (https://www.gs1.org/sites/default/files/docs/epc/uhfc1g2_2_0_0_standard_20131101.pdf). There are a lot of tag ICs that fulfill that EPC Protocol. At the reader side, you should have either a UHF EPC based reader chip or implement it by your own using DSP or FPGA.