It is possible to alter the position of an issue directly in the map. 

To alter an issue's position, i.e. move it to another position:

  1. Click on the issue you would like to move, to bring up the issue popup
     
  2. Click the move icon in the issue popup


  3. Drag the marker to the new position in the map

     
  4. Confirm (or cancel) the change 

This function is only available if explicitly enabled by your JIRA administrator.
If you do not see the icon for moving an issue, contact your JIRA administrator.