Thank you for posting your query
Yes it is possible and normal to still have head aches after 5 weeks depending on the severity of the injury
. If you were not kept in the intensive care unit
it is likely because it was a mild to moderate and you will allow your self like a couple of weeks to months for the headache to subside. In the mean time, taking a week or 2 of bed rest
and antimigraine medication will you do you a lot of good. If the head ache still persist after a couple of weeks, then consultation with a traumatologist will be of use.
My advise is get some bed rest and antimigraines. You probably have not given it some rest with your system and continuous stress
might be aggravating the headache that was already present.
Hope this helps