Start by making pea pesto garnish. In bowl of food processor fitted with steel blade attachment or blender, add peas, mint, basil, jalapeno, garlic clove, lemon zest, cheese or nutritional yeast, pumpkin seeds, and 1/4 tsp (1 mL) salt. Process until a chunky paste forms. With processor running, drizzle in 2 Tbsp (30 mL) olive oil until you have a thick and textured sauce. Transfer to airtight container and keep refrigerated until ready to use. Wipe out processor and set it up again to make soup. No need to wash it.
In processor, place tomatoes along with their juices, fennel, cucumber, bell pepper, onion, sherry vinegar, coconut sugar, black pepper, cumin, bread, remaining 1/4 tsp (1 mL) salt, and 2 Tbsp (30 mL) olive oil, and blend until smooth. Transfer to airtight container and refrigerate for 3 to 4 hours.
To serve, divide chilled soup among serving bowls. Swirl in a dollop of pea pesto before garnishing with additional peas, some fennel fronds, and a grind of fresh black pepper, if desired.