Yes, you can pause an ongoing routine on Superr.
To pause a routine,
Tap on the child and go to the 'Rules' page
Press and hold the routine you want to pause
On the pop-up, tap on 'Pause routine'
Related questions :
How can I resume a routine?
On the rules page, the routines that are grayed out are paused routines.
To resume a routine,
Tap on the child and go to the 'Rules' page
Tap on the routine you want to resume
Tap on Resume routine