I'm assuming that the phone is still turning on but not showing anything. Is this correct?
Firstly it seems as though the fall has caused the charging port to become disconnected from the systemboard.
As most likely the charging port is mounted on the systemboard and not a separate module that is connected to it by a flex cable, the phone will have to be opened and inspected as to what the actual damage is.
The charging port can be repaired/replaced but this requires the relevant skills and tools to accomplish. You can cause more damage to the phone if you don't know what you are doing and don't have the correct tools to do it.
It may also require extra testing after the repair to find out why the screen is not coming on unless the problem is obvious when the phone has been opened.
I suggest that you take the phone to a reputable, professional mobile phone repair service and ask for a quote to repair the phone. Also ask what guarantee they give on their repair work. Most good repair services will not hesitate to give you an answer on this question.