Is it possible to pause the stack while you do something?

Hi all,
I had this cool deck I used to play, and with the new cards I can make it again! But I'm not sure how to make it work. The key card is Mangara of Corondor. You tap it and it exiles a permanent and then exiles itself, but if you use cards like Puppeteer, you can untap the Mangara and have it exile another permanent, and do it again and again, until you have no more Puppeteers left and then you just let it continue and it exiles all those cards. Or you can even do a Momentary Blink right at the end to save the Mangara.
But in Manalink I can't work out how to pause the stack so you can keep untapping and then activating the card. Is this possible?
I had this cool deck I used to play, and with the new cards I can make it again! But I'm not sure how to make it work. The key card is Mangara of Corondor. You tap it and it exiles a permanent and then exiles itself, but if you use cards like Puppeteer, you can untap the Mangara and have it exile another permanent, and do it again and again, until you have no more Puppeteers left and then you just let it continue and it exiles all those cards. Or you can even do a Momentary Blink right at the end to save the Mangara.
But in Manalink I can't work out how to pause the stack so you can keep untapping and then activating the card. Is this possible?