Can an Indiana finance company report a vehicle as stolen for non payment of the loan?

First, they'll try to repossess the vehicle. If you tell the repossessors that you don't know where the vehicle is, that could give them grounds to report it stolen, although it's a little more complicated than that, and they'd likely just file a missing property report, The finance company has no interest in jailing you - they want their money, and you obviously aren't going to make any amount of money in jail that'll allow you to pay them back. They might take you to civil court.
If anyone's going to try reporting a vehicle as stolen, some repossession agents have been known to do it after they've been told, "well, I don't know where the car is", as a pressure tactic. IMO, a pretty underhanded move, but I won't say I would've been above doing it when I did repossessions (although I never actually did this).