Mapping Ctrl+Arrow for Home/End/PageUp/Down

Sure, but you'll need to use a third party program such as AutoHotkey. For example if you wanted to map Ctrl + Up up to pg up and Ctrl + down to Pg Dn you would write:

^{Up}::{PgUp}
^{Down}::{PgDown}

in your AHK file. See the Remap Reference.

I've come to understand that recent versions no longer recognize this, It seems page Up and down have been changed. Try this if the above does not work:

^Up::PgUp
^Down::PgDn

Make sure you run as administrator in Windows Vista/7/8

The script in the accepted answered does not work (AHK rejects it as invalid), so I went to the #AHK IRC channel and they told me that it should be:

^Up::PgUp
^Down::PgDn

So, no squigly brackets, and PgDn or PageDown, but not PgDown.

Or, some people seem to need:

^Up::Send {PgUp}
^Down::Send {PgDn}

This works me for (Windows Vista, AHK 1.1.13.01)