It’s not possible using user capabilities. But it seems that you can use a filter. Tickera adds “Export PDF” tab using this filter:

add_filter( 'tc_settings_new_menus', array( &$this, 'tc_settings_new_menus_additional' ) );

function tc_settings_new_menus_additional( $settings_tabs ) {
	$settings_tabs[ 'tickera_export_mixed_data' ] = __( 'Export PDF', 'tc' );
	return $settings_tabs;

You can add to this filter with larger priority (99) your own function, which will remove ‘tickera_export_mixed_data’ element from the array with the list of tabs.

Let me know if you need further help.