Yes. With a VA loan there is an option that when a house is sold that the VA loan on the house can be transferred directly to the new owner. Military affiliation or not. So my VA loan on my private residency can be transferred so Joe Somebody right off the street when I decide to sell.
So if your father buys a home, you BRRRR and then buy it from him after 1-2 years (depending on capital gain etc) you have used the VA for your home. I also believe that if your father died in combat, you might be able to use the VA loan. Probably check with the VA on that one, you can email them questions and they get back to you at the speed of government.
The problem is a VA loan (at least when I was looking to use it) cannot be used for the Rehab portion of your BRRRR strategy, plus if the home requires rehab it might not qualify for the loan in the first place. VA loans require a second inspection and the standards are kind of higher than conventional, or so I have been told.
That means you need to get kind of creative if you are going to be BRRRR with the loan. There are ways but it takes more leg work since the property would have to change owners 3-4 times in less than a year.