Hi @Matteo_Saul and welcome to the QuickSight community!
After exploring the chiclet slicer capabilities in Power BI a bit more; currently there is not a comparable feature within QuickSight. There are work arounds to create buttons, but to have the same functionality like being able to toggle those fields on and off a visual may not be achievable through the current work arounds. You can see more about button creation at the article linked below:
I agree though that this is a neat feature that could be a nice addition to QuickSight. So I’ll tag this as a feature request to promote visibility to the support team.
Let us know if you have any additional questions!