No reliable homebrew app exists to download ISO/CSO files directly to a PSP over Wi-Fi. The hardware and software stack make this impractical:
ISO/ or GAME/ folder on MS via USB cable (M33/Pro CFW) or MicroSD adapter. 1 GB/min via USB 2.0.ms0:/ISO/. ~500 KB/s.psnstore plugin + activation .rif files.Recommendation: Use PC + USB/Card Reader. It's 10x faster, resume-capable, and verifies file integrity (MD5/SHA1) before play.