Can A Busy Lamp Field "label" be linked to an extension?

Can A Busy Lamp Field “label” be linked to an extension?..Is it possible with FreePBX and Aastra/Mitel phones to have a value in place for a BLF label that would populate a name in the the label field and change when the extension changes. An example would be a office that has Joe Ext 1210 on all the phones, he quits and Mark is hired. His phone is changed to say Mark but all the BLF’s on the the other phones still say Joe. Thanks!