Broken Nose Causing Headaches?

Consider consulting with your Internist or a reputable neurologist for evaluation of your headaches. Nasal fractures may lead to localized nasal pain. Hope this helps you. Dr Joseph

It’s not unusual for patients to experience headaches
following nasal fractures. These
headaches may occur for a variety of reasons and should therefore be
investigated when they occur.In some
cases, the primary source of headaches may be the nasal fracture itself.In other cases, headaches may be related to
damage to adjacent anatomic structures.For
these reasons persistent headaches following facial trauma should always be
evaluated by a specialist. If headaches
are associated with your nasal fracture, it’s important to discuss the problem
with your plastic surgeon so an appropriate referral can be made.

This is possible. I recommend you see your doctor for an assessment, as headaches may be caused by other things as well.

Reoccurring headaches after trauma is often an indication that your body is responding in a negative way to your broken nose. In fact, headaches have been shown to be a symptom of a broken nose. For a clearer understanding of the root of your headaches and to evaluate whether or not further medical treatment (a possible rhinoplasty procedure) is necessary, consult a qualified plastic surgeon. 

You should really seek medical evaluation if you have continued headaches after a broken nose.  You may have a another injury which was not identified at the time of your broken nose or you may have a complication from your broken nose.  Either way, you should be seen by your doctor for evaluation.  Good luck.