Well, his parents died when he was 18 & 21, so I doubt that...
His family wasn't really wealthy in any way either.
Also from Wikipedia:
After graduating from college, Sanders initially worked in New York City in a variety of jobs, including Head Start teacher, psychiatric aide, and carpenter.[25] In 1968 Sanders moved to Vermont because he had been "captivated by rural life." After his arrival there he worked as a carpenter, filmmaker, and writer[39] who created and sold "radical film strips" and other educational materials to schools.
His first political job was when he was 40. But don't tell that to Alex Jones listeners.