Hi Jong Min Sun,
Thank you for choosing Intel product.
Regarding to your concern above, Yes, you can always modify or check the programming information on other PC. (as long as you used the supported Quartus Prime for that particular device, i.e. Cyclone III device only support Quartus prime version 10.0 to 13.1)
You can check your supported Quartus Prime here (sort by Select by Device):
https://www.intel.com/content/www/us/en/programmable/downloads/download-center.html
Intel FPGA(aka Altera FPGA) is Quartus Prime dependent, not PC dependent.
I hope this will help you.
Thanks