quartus prime Version 19.2.0 Build 06/24/2019 SJ Pro edition
Are you talking about reading back a Programerable file?
if so, Yes you can read back .pof file and You can then save this file and use it to program other devices.
If no, reply to sstrell.
Use "examine" checkbox of the Quartus programmer to read file from flash and save the file.
Also check the similar case