There is for PS2 BIOS because Sony enforces its copyright. If you see a link in forums or old Reddit posts, it is likely dead, illegal, or malicious.
While the Internet Archive is a fantastic resource for abandonware and user manuals, PS2 BIOS files are protected software. No permanent, safe, legal “direct link” exists there. Your best bet: dump your own BIOS from a console you own. internet archive playstation 2 bios link
Let’s be blunt:
The "Emulation General Wiki" (emulation.gametechwiki.com) maintains a BIOS page with MD5 checksums. You can use these checksums to verify any BIOS file you find on the Archive. There is for PS2 BIOS because Sony enforces its copyright
The PS2 deserves to be preserved for future generations. Whether Sony likes it or not, emulation is the only reliable path forward. The BIOS is the key, and for the last decade, the Internet Archive has held the spare set. Go find it—just bring your own moral compass. No permanent, safe, legal “direct link” exists there
Also, toggle the search filter to rather than "Web pages" or "Texts."