I am pretty confident. The Arkansas Supreme Court has a five-part test on jurisdiction. To have jurisdiction over the seller, the five factors are: (1) the nature and quality of contacts with the forum state; (2) the quantity of such contacts; (3) the relation of the cause of action to the contacts; (4) the interest of the forum state in providing a forum for its residents; and (5) convenience of the parties. Ganey v. Kawasaki Motors Corp., USA, 234 SW 3d 838 (2006).
A one-time Internet sale does not provide a basis for jurisdiction.
And, yes, proving what he knew is a challenge but that is your burden of proof
if there's a suit.
This is because, when you purchased the auto, you didn't purchase it with a warranty. This means that you cannot sue for breach of contract
That only leaves the available claim of fraud/misrepresentation. To pursue fraud/misrepresentation, you have to prove what he knew and that he knew it was false and that he made such false statements to induce you to make the purchase. It is tricky.
And this is why you may want to first pursue going through the state with the licensing officials. You never know, they may already have a stack of claims against him. Or, maybe he's not licensed and they can prosecute him that way.