No Monster High Games Released on PlayStation 2

Correct. The Monster High franchise (Mattel) released games on:

• Nintendo DS / 3DS
• Wii / Wii U
• PC (Steam, disc)
• iOS / Android

But never on PlayStation 2. The PS2 was discontinued (2013) before the first Monster High game launched (2011 on DS/Wii/PC). By the time the brand expanded, publishers had moved to 7th/8th-gen platforms.