Sure, if it is legal in your country to do so. But the real question is SHOULD you own a gun if you have PTSD (post traumatic stress disorder)? With this reworded question, it is not a good idea to own a gun if you have PTSD. The reason for this is that with PTSD, you are in a constant state of vigilance (hypervigilance), where you are constantly on the lookout for any sign of danger. The problem with owning a gun is that you may misinterpret a situation as dangerous, and may take steps to stop that danger by using your gun. For instance, your family member may be entering the backdoor, but you may misinterpret it as a break-in.
So it is not a good idea for a person with PTSD to own a gun, given the risk of misinterpreting safe situations as dangerous, due to the hypervigilance that is associated with PTSD. The good news is that you can get help and treatment for PTSD. So if you treat your PTSD successfully, then owning a gun won't be so dangerous, as you will be able to interpret situations accurately.
For more information and help with PTSD and hypervigilance, please visit the rest of AnxietyBoss.com.