Yes—with important caveats. Sony distributes PS3 firmware updates freely on their official website. Downloading these official update files for use with emulation software exists in a legal gray area but is widely considered acceptable as long as the emulator itself does not include proprietary Sony code.
Downloading a BIOS file from a random website is (Title 17, USC § 106). However, you can legally acquire a perfect "Better" BIOS in two ways: Ps3 Emulator Bios File Download BETTER For Android
For practical purposes, if you want to run PS3 games on your Android device using the best available emulators, . Don't fall for claims of "no BIOS required" emulators—they either rely on incomplete emulation or are outdated projects that won't run commercial games properly. Yes—with important caveats