Searching for a "PS Vita PS2 emulator VPK" implies the user is looking for a standalone program they can install via the VitaDB Downloader or Vitashell to run .iso or .bin files ripped from PS2 discs.
It is extremely unlikely. Even if a genius developer started today, the Vita lacks enough RAM (512 MB vs. the 2GB+ needed for PS2 texture caching). You would need to rewrite the entire PS2 instruction set to ARM assembly, a project that would take a decade for one person. ps vita ps2 emulator vpk
Emulation generally requires the host system to be significantly more powerful than the target system—historically, a rule of thumb suggests the host needs to be roughly 10 times more powerful to emulate a system accurately via software. While the Vita is powerful, it does not possess the raw overhead required to software-emulate the complex Emotion Engine of the PS2 at playable framerates. Searching for a "PS Vita PS2 emulator VPK"
In 2023, Android phones with Snapdragon 8 Gen 2 chips can run some PS2 games via (now discontinued). These phones have CPU clocks over 3.0 GHz and active cooling. the 2GB+ needed for PS2 texture caching)