No, never. Neither my PS2 fat nor my Slimline model ever failed duty. Sure, the laser of my Slimline was a ***** at times and destroyed quite a few discs, but that was only after extensive usage. I must've launched Tony Hawk's Underground 2 over 10 000 times...
My Slimline was even among that bunch supposedly prone to battery overheating. It's not once been hotter than what I deemed dangerous.