Yes and no.
If you required a fiduciary to pay your bills are you still competent to carry?
I'm not sure what physical disability could prevent you from paying your bills in today's day and age. I imagine even Stephen Hawking could pay his bills but a firearm would be useless to him. (Unless it was incorporated into his chair which would be cool!)
In 2007 the Congress passed some ill advised amendments to the National Instant Criminal Background Check System (NICS). The amendments were in response to the Virginia Tech shooting, (which did not involve a veteran) and were designed to make sure that people adjudicated to be “mentally defective” were on the list. However, the disqualification criteria remained the same, a person had to be found to be a danger to themselves or others or “lacks the mental capacity to contract or manage his own affairs.”
Since that amendment was adopted the VA has decided that all veterans that it declares “incompetent” to handle their VA payments are also ineligible to purchase or own firearms. There is absolutely nothing in the NICS criteria that states that those with physical disabilities belong on the list of individuals prohibited from owning firearms, yet the VA specifically states in their letter to veterans that this is part of their criteria. In addition, our investigation has found that the VA is using reasons such as minor depression, minor PTSD, and even minor short term memory loss as grounds for declaring veterans “mentally defective.” In some cases, the veterans are not even given a reason.