Doesn't look like it does; the driver doesn't have any options for setting full bleed. And I've never seen a laser printer that could do full bleed, for the reasons others have mentioned. (I have seen inkjets capable of full bleed, for instance my Canon MP560.)
Thanks Scott. I have the driver on my netbook too and I could look at it. I'm sure I've seen "fit to page" options in either or both of the Brother and Adobe Acrobat print dialog boxes.