This can be done on Steam. Library > Star Wars Battlefront II (Right Click) > Properties > Set Launch Options > /resolution 1366 768

Many of the placements become incorrect. Text is moved around, boxes, icons, etc.
Is there a possible way to fix it? (Probably not, I vaguely recall this being discussed before)

Why did you change the resolution in the first place?

To reply to a question I received with an accurate response.
http://steamcommunity.com/sharedfiles/f ... 7243551#-1

Perhaps these problems are the reason why the menu resolution is always at 600x800 even when you change your in-game resolution to something else.

Maintaining the original aspect ratio (4:3) might help.