Yes! You can track Instagram stories using the stream tool. It's a great feature when you want to collect content for your campaigns.
Two things you need to remember about stories are that :
It is private data to Instagram users only
It is available for a limited period of time only
For these reasons you must get the influencers approval before the publication of their stories to be able to track them. In order to do so, you have to invite influencers to collect their stories.
Here is a detailed article: Stories: How can I invite influencers to collect stories? that explains how to proceed.
Don't panic: it's easy! 💪