Heat olive oil in a large pot. Add onions, garlic, and bell pepper, cooking until soft. This builds a flavorful base for the chowder.
Stir in cubed potatoes, corn, and minced sun-dried tomatoes. Sprinkle smoked paprika and thyme, mixing to coat the vegetables evenly.
Pour in vegetable broth, bring to a boil, then reduce heat and simmer 25–30 minutes. Potatoes should be tender, and flavors fully melded.
Use a blender or immersion blender to puree about one-third of the soup. Return it to the pot with non-dairy milk for creamy texture without using cream.
Stir in lemon juice and season with salt and pepper. Garnish with parsley or chives before serving for freshness and color.