Is there a way to transfer trophy data from ps3 to ps4 without psn?

My ps3 has had this error where it can't update; as a result, I can't access psn on there and sync the trophy data that way. I just got a platinum for Jak and Daxter and I'm close to ones for Jak 2, Jak 3, Skyrim, Infamous 1 & 2, and Ratchet and Clank: A Crack in Time. It's not like I can't live without the trophies on my profile, but it'd obviously be better if I could transfer them somehow.