You can! The export button in the upper right of any analytics page will allow you to export the current data based on the selected ranges and filters:
You can export from the campaign, ad group, keyword (which includes both keywords and PAT targets) and ASIN explorer tabs.
When you select the export button, a popup will allow you to review your selected date range and filters like so:
If everything looks according to your specifications, you can start the export and the data will be sent to you via e-mail. To change the date range or filters, close the export dialog and change those options on the Analytics page.