Is it possible to open a new space with the keyboard?
There are only three ways to create a new space in OS X Lion and above:


Press F3 to launch Mission Control hover the Pointer over the top left or right corner, where a window will now appear with a + sign – by clicking the + a new space is generated

drag and drop an application window from Mission Control to the top right or left corner of your screen; the Desktop icon will appear, and a new space is gererated and your window's application is assigned to it.
Once enabling an application's full screen mode by clicking the right-hand corner of an application window's title bar, a new space is generated for the application





  Set Mission Control shortcuts
  
  
  1) Choose Apple menu > System Preferences, then click Mission Control.
  2) In the Keyboard and Mouse Shortcuts section, open the pop-up menus to choose keyboard shortcuts, mouse shortcuts, or both. If you have a multiple-button mouse, you see two columns of pop-up menus in this section.
  3) Click Hot Corners, then open any of the pop-up menus and choose actions to perform when you move the pointer to a screen corner.
  After you set an active corner, move your mouse to that corner of the screen to see the result.
  




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