According to the leaks:
:If you own GTA IV on PC, you can use the Moonlight homebrew app to stream the game to your Vita. This requires a PC with an NVIDIA GPU (or Sunshine for AMD/Intel) and a stable home network.
, the intersection of these two iconic gaming relics represents one of the most significant "what-if" scenarios in handheld gaming history .
no native port or official version of Grand Theft Auto IV (GTA IV) PlayStation Vita
If you have GTA IV on PC, is widely considered the "gold standard" for playing it on the Vita.
The modding community has successfully ported "Trilogy" titles— GTA III , Vice City , and San Andreas —using Android game files. However, since GTA IV never received a mobile release, there is no similar foundation for a fan-made Vita port. How to Play GTA IV on PS Vita