Is a convicted felon eligible for a Veterans Administraton home mortgage?

I think you would be. The factors are mostly about credit and income history. Is something stopping you from applying? A fee? They also have to approve each specific house's price by doing an appraisal, as any lender does.

I think there are some rules for specific drug convictions, but in general yes, The loans are better and you should try, at the worst, they turn the loan down.