Yes, it is possible. But only with granting access to good quality information and knowledge to the most people.
If democracy is the 'dictatorship of the majority,' and yet the majority can be manipulated by a better informed minority, then the Tyranny of the Minority exposed by Prof. Eckersley becomes a fact.
And how to bring more information to the masses? Well, investing in Education (and not military or subsidies to oil industry/monocultures) as a priority seems to be a way.