Absolutely. Add your new property to an appropriate Property Set Definition [PSD] (you could modify an out-of-the-box PSD, if you are comfortable with that - be sure to back it up! - or create a new one if you prefer). In this case, you would want a Manual, Text-type property. Create a custom Schedule Tag that has an attribute definition in the View Block that references your new property and you are good to go.
I do not know how familiar you are with the detailed steps in doing the above, so feel free to post back asking for more detail on any parts with which you need additional assistance.
In the attached file, I was lazy and just added a property called AbbrName to the out-of-the-box SpaceObjects PSD. The file is in imperial units; my apologies if you use metric. Property names of properties that you plan to display in a Schedule Tag should not have any space characters in the property name or in the name of the PSD, as both need to be included in the attribute definition's Tag property, and that cannot have spaces.

Likewise, I was lazy and duplicated the out-of-the-box Aec8_Room_Tag Multi-View Block definition and its Aec8_Room_Tag_Basic_P View Block (after fixing the alignment of the two attribute definitions in the View Block), renamed the copies, changed the Tag of the attribute definition to SPACEOBJECTS:ABBRNAME, edited the Aec8_Room_Tag_Abbr Multi-View Block definition (the copy) and swapped in the Aec8_Room_Tag_Basic_Abbr_P View Block for the Aec8_Room_Tag_Basic_P View Block, for both the General and Reflected Display Representations, assigning the same View Directions (only Top is checked in both Display Representation).
For the sample file, I used the out-of-the-box Room Tag tool to tag the sample Space with the out-of-the-box tag. I copied that tag and put the copy below it, then used the Properties Palette to change the Definition property to the abbreviated name version (Aec8_Room_Tag_Abbr). I had to select the Space and, on the Extended Data tab, enter "GT" for that Space's AbbrName property value, to get what you see in the image below.

David Koch
AutoCAD Architecture and Revit User
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