Many states have different rules on trying to obtain a Title, but here in Virginia, there is a way. To do it legally it takes a process with the DMV and part of that process includes that it needs to be proven that it was not stolen.
Although, myself, I would never buy a car of value that I wanted to fix and drive without one, if I lived in a state that requires one.
Many states don't after a certain age.
-Parting Out over 75 '58 to '73 Full Size Chevy Cars-
-National Impala Association
-Vintage Chevrolet Club of America