Can you farm after Farewell?

After you beat the fourth BB in part 2, Day 7 has the “Farewell” story event, and the main quests conclude.

Afterwards, are the farming quests still accessible? I don’t want to cut myself off from the Master missions and any point ladders I need to complete by that time.

If they are, do they still advance a time counter?

available farming for events never ends until the event ends