bleaching is a one day procedure but before that you need to get a general teeth cleaning also called scaling done from your dentist.Also get the latest analysis of the fracture condition and healing progress of your jaw.Incase you have teeth sensitivity then it has to be treated first because bleaching can increase it.
Next Steps
scaling( cleaning) from your dentist
Health Tips
proper medical history should be given and advised treatment and followup for jaw fracture is must