Anything is possible. 
Read up on the page-specific stylesheet in the readme file in the css folder. (It'll be in the css folder in the classic template if it's not in your template's css folder.)
You can create a page-specific or category-specific stylesheet, and hide an element you don't want by setting it to, for example...
Code:
#information.leftBoxContainer { visibility: hidden; }
That code will hide an entire sidebox with an ID of "information" and a class of "leftBoxContainer".
To hide an entire column, use...
Code:
#navColumnOne.columnLeft { visibility: hidden; }
My examples are talking about left columns because I don't have the right column visible to test it. But if you use Firefox and either the web developer tools or Firebug, you can quickly and easily see what ID and class to specify to do what you want.
Rob