But I don't think slice of life needs a conflict. YKK is probably the best slice of life story ever, and almost nothing happens there.
There are a number of small conflicts though. Battling the elements, trying to find a Misago who doesn't want to be found, worrying that the coffee shop gets so few visitors. And the larger, overarching conflicts like the fact that eventually Alpha will lose everyone dear to her except the other androids.
Conflict doesn't have to be big things, little day to day inconveniences or challenges (like the desire to take photos conflicting with the desire to conserve film) can be enough to drive a story.