Yes. This is well known since Antiquity when the Athenian Democracy voted to condemn Plato to death.

Read more about the period and you will see that the Democratic cities of yore, Athens first and foremost, often swinged towards taking bad decisions, and that a whole corporation of "sophists" manipulated public opinion without shame (read e.g. Gorgias).

The great progress that enabled the restoration, extention and stabilisation of Democracy in the modern era has been indirect, representative democracy and base, written bill of rights/constitutions that aren't asily modified, requiring majorities of 2/3rds or more and constraint what can be voted on.