Because Postman officially discontinued 32-bit support after version 9.4, you must rely on archives or specialized portable app providers.
This community project offers a dedicated Postman Portable download page where you can find legacy 32-bit versions such as v7.30.1 or v6.3.0 . download postman portable 32 bit
You can find various archived Postman 32-bit versions up to 9.4.1. Why Use the Portable Version? download postman portable 32 bit
Portable apps run without needing administrator privileges to install. download postman portable 32 bit