Yes, you can burn wood on a charcoal grill. But again, it’s really, really important to keep in mind that charcoal grills are NOT designed to burn wood, so you will need to take extra precautions to ensure that it is done safely.
The same rules apply and are recommended here! You should never use a charcoal grill to burn wood on a wooden deck or any other flammable surface, and you should make sure that the grill is placed on a sturdy and non-flammable base. Additionally, you should never leave a fire unattended, and you should always make sure that the fire is completely extinguished before leaving the area. It’s also a good idea to avoid using any chemicals or accelerants when burning wood in a charcoal grill, as these can be dangerous and cause the fire to spread quickly.