Did a search, Persona 5 is a game on the PS3 and PS4? It really depends on the emulator here.
Last I hear, which I admit was a long time ago, there was no real working emulator for the PS3. Maybe they have one for the PS4 seeing as it's more PC now than ever, but I've never looked into a PS4 emulator. Because this is a current gen console I agree with the above. Just buy it. Emulators usually have poor compatibility with modern titles. Even if you get it running, playing it probably won't be fun.
Putting my mod hat on, talking about emulators on Tom's is ok, asking how to get roms or sometimes even how to get them working isn't. You are VERY borderline here seeing as you are talking about a game. I posted to give what...