Yes, and unfortunately for me, Parasite Eve 1, II, and Chrono Cross are all some of my favorite and most-played games. I suppose I didn't quite tell the whole story of the error; let me explain it in full.
1. PSone game prompts me to change discs. PS2 phat stops spinning the disc.
2. I put the new disc in. The PS2 phat attempts to read it, but the disc never starts spinning again.
3. The game is stuck at the "Please change disc" prompt screen forever.
I was thinking that I would just buy a PSone and be done with it.