Really depends on the State you are in (hint hint, let us know). Some states allow you to register a new-to-you boat with just those numbers, not very many though. What State are those reg numbers from on the hull? Did you get it from the person who last registered it? It looks like a pre-1972 boat so no HIN numbers on the hull probably. You may be able to trace it back from the reg numbers on the hull, I think I can see some in that pic. Some lakes are private, no reg numbers needed, but those are limited and not too aplenty.
I had to go thru a couple of hoops once to get one titled in my state (TX), but I had purchased it from the last register-er in the other State (KS). Good thing it was just hoops, that limbo thing is a killer at my age.
Good luck! Looks like a fun little boat.