Is it ok to apply neosporin to the FUE donor area to accelerate the healing process?

By now you shouldn't need either- if you feel like the area still needs to heal despite running out of ointment, talk to your doctor about whether you simply need more Bacitracin or if there's an underlying issue that is preventing the area from healing completely.

Long-term use of Neosporin can lead to skin reactions.  The donor area usually recovers pretty quickly- if you are having problems with it you're better off contacting your surgeon.