Hi Aaaa Aaa,
What you are asking to do is possible with Section Access.
Here is the documentation on Section Access for Qlik Sense:
If you want to see a video of Section Access in action, watch this: https://drive.google.com/file/d/0BxBEVQthCb29OHFySW1UZkw1SFk/view?usp=sharing
It's for QlikView, but the premise of Section Access is the same for both products.
Yes you can export data from Qlik Sense, either a user can natively right click an chart and export data (if they have the export privileges) or you can do it programmatically.