Yes you can increase the space between specific menu items, but you would have to edit the same interface layout file whenever you update Blender.
One thing you could try is to experiment with changing the font size settings for Blender, found in the "system" tab of the User preferences window. Increasing the value in the "DPI" pane of the window associated with this tab would make the text in the menu larger, but it would also make all of the other text in the instance of Blender larger, too.
It is possible, however, that someone else with the skill set necessary to craft a new UI has made the modification you seek. You might try asking in some of the community forums on such sites as Blender Artists, Blender Nation, or others.
I know of that least one person that has crafted a custom UI, Blender Sensei, but I don't follow it, haven't used it, and so neither recommend nor discourage it.
Finally, while the new (since version 2.72) Pie Menus feature does not yet seem to be enabled for the file menu, I would expect some future version of this feature will deal with the file menu.