I dont think so
Its different hardware / software all together
Theres a couple games that allowed you to upload cross save progress like sound shapes for example and once you finish it once, you can upload your ps3 save or vita save to the there servers, download it on ps4 and auto pop that stack along with the other regional stacks
There was also a ps vita game motorstorm usa or something like that where you could do the same thing and then auto pop the ps3 platinum
Thats really the only examples of auto popping anything with a ps3 trophy list tag
Auto pop didnt become more relevant until late into last gen and into this current one