Harvest Moon: A Wonderful Life Special Edition

Can be obtained starting with Chapter 2 - A Birth.

There's a couple of prequisites until you can attract ducks:

1. Own a pond - You can order it from the ledger for 2500g
2. Own 6 or less chickens - this may include any unhatched eggs currently residing in the incubator
3. Wake up after your wife during summer, either by staying up long enough or using the alarm clock

Once you've done so, a cut-scene will play after you wake up where your wife informs you that there's some ducks in your pond. The trophy unlocks immediately, so you can decide not to keep the ducks if you don't want to. But keep in mind that they're worth more when you sell them than chickens.