PSN account

I just want to ask if it is going to be possible to sign in to my psn account, just so I can get some trophies I missed or maybe play online. Please don't judge me, i'm still new to all this

Short answer: nope.

Long Answer: even if it would be possible to login, it wouldn't be safe for your account, and for the emulator itself (it would just give sony a reason to shut down the project)