While we understand that life gets in the way and you cannot maintain a streak, there is currently no way to pause it within the game. Unfortunately, Adopt Me Support also has no functionality to pause your streak from our end. We can only pause streaks for everyone as a whole, not individually. 

Therefore, in these instances, the only remaining option is to lose it. Do not be alarmed; we wouldn't just advise you to lose your streak without a backup plan. In the event your streak is lost, our team can restore it. You can find out more about this in our Daily Streak article.