I do not know if it is possible or not, but you might try looking in the ProjectResources.properties file. You can find this in the deploy/itg.war/WEB-INF/resources/web folder. A little ways into the file you will see the comment:
Used in PFM Request Type page in Project Types
This is followed by several lines for each of the Issue, Risk and Scope Change items that show on the page where you want to add this.
Depending on how this was implemented, you may be able to just copy the lines for one of the other types and change the names. You will proabely need to run kUpdateHtml.sh and restart.
I have not tried making this change to see if it works, but this looks like the place to try. Just remember you may need to make this change again when you upgrade.
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this looks like it is a good start, I will go ahead and test these changes since the implementation I have in mind would be pretty straight forward, I will update and let you know how it goes.
EDIT: I have made the changes by copying and pasting it and re-naming the fields but it seems that there is more to it so I will have to continue searching, I managed to change the name of the field at least lol
It seems that the Request Type is defined somewhere else and that is why it doesn't read it, if you or someone else have any ideas they're more than welcome.