Sharing Downloaded Game

When I bought my ps4 I created a new account and was hit with having to buy PSN. I created an account, got the membership, downloaded some free games. That account expired and I went back to my original account. Bought psn all gravy. Is it possible for me to get the games I downloaded on the other account? It tells me I can't play them because that account is expired, I understand that, but both accounts are on the same Console. Is there no way for me to get them?

Any help would be greatly appreciated.