Yes, provided you'll qualify for this program based on your Veteran's qualifications. You may be eligible if the Veteran you're caring for meets both of the requirements.
Are you meeting both of the requirements?
Yes, I've read the requirements and he meets them.
Does the Veteran have a serious injury including traumatic brain injury, psychological trauma, or other mental disorder that was caused or made worse by their active-duty service on or after September 11, 2001 then?