Easily. For instance, if a movement portrays itself as being supported by the common people and against the elites, then one possible next step is to argue that the mechanisms of democracy have been perverted by those elites, and therefore must be "reformed" or even swept away.
(If you've been paying any attention at all to US politics in the last few years, this should sound pretty familiar.)
That doesn't make sense. No populist parties are arguing for the mechanisms of democracy to be "swept away". They usually want them strengthened with better security and less political censorship.
(If you've been paying any attention at all to US politics in the last few years, this should sound pretty familiar.)