2nd try - zu ihren Freuden - her friends or their friends?
Here's the whole sentence -
Er hat manche Verbindungen zu ihren Freuden.
Tried again to translate as "her friends". Duolingo spit it back.
If there's just this one sentence and no other context, you're right and Duolingo is wrong. The phrase could mean either "her friends" or "their friends". (However, the spelling should be "Freunden", not "Freuden". "Freund" is friend and "Freude" is joy).