In contrast to the Nintendo Switch, work on emulating the PlayStation Vita started years after the console was released and this was due to numerous difficulties such as the console only getting a full native hack in 2017 with HENkaku, a staggering 5 years after its release. That being said, progress is picking up and a few games are already In-Game to varying degrees.
A few hours ago, the folks behind Vita3K had something interesting to share with us and that is the fact that Persona 4 Golden is close to showing some graphics. This was achieved through significant progress in the shader translation part of the emulator which shows that some developers are indeed interested in making the PSVita fully emultable, like the PSP, one day.