Question: I see that I can only create a pivotchart from a pivottable, but since the filtering options are on the chart, and the table is not important:
**Is there a way to hide a pivottable If I only want to show the pivot chart?**

Answer: 
In Excel2013 when creating a PivotChart there is a checkbox at the bottom saying "Add this data to the Data Model" which hides the table (if checked).
You can also place the pivot table in a separate sheet, then right click the sheet name and select Hide. This way no one can access the Pivot Table without unhiding the sheet first.