Currently yes, you can transfer Premium from PS3 > PS4.
No problem. You may run into an error that the stat transfer prompt will not pop up. If this happens, DO NOT PLAY A ROUND. Here are two workarounds to get the prompt to show up. The second one is easier and has seemed to work better than the first, so try that one first.
There was an issue a little while back that caused the prompt screen to not show up. Below is a workaround that worked for people at the time, see if it still works.
1. Sign out of your PSN ID and sign in as Guest
2. Start Battlefield 4 and go to main menu
3. Hit the PS Button to go to the dashboard and sign into your PSN Account
4. Go back into Battlefield 4 (It may say to reconnect controller)
5. Hit the PS Button > Dashboard, go to the Guest account and Sign Out
6. Re-open Battlefield 4 and choose your soldier
7. If it gets stuck on loading for a min or two, Close the Application and then open Battlefield 4 back up
8. You should now see the prompt
I did see one other possible workaround as well:
1. Close the BF4 application on your PS4
2. Log into your Battlelog profile
3. Hover over your name in the top-right corner and click "Change Soldier"
4. Under the far left column labeled "Active", hit the one next to your PS4 soldier so it turns green
5. Hit "Save"
6. Start BF4 back up on your PS4
7. You might now see the prompt
Post back and let me know which of the two (if any) worked for you.
I tried everything, nothing seem to work. I still did not get the prompt message, its been 2 days now...
It is possible now! @xExtremePlayeRx
How to transfer? I tried everything
