Mix hoisin sauce, 1 teaspoon water, and 1/2 teaspoon sambal oelek together to make dipping sauce.
Mix oyster sauce, 1 tablespoon water, 1/2 teaspoon sambal oelek, mushroom seasoning, sesame oil, sugar, and 1/4 teaspoon salt together in a bowl to make seasoning sauce.
Heat oil in a large skillet over medium heat. Cook and stir ginger until fragrant, about 30 seconds. Add tofu, jicama, shiitake mushrooms, 1/4 teaspoon salt, and pepper; cook and stir until mushrooms are golden brown, about 5 minutes. Add red bell pepper and seasoning sauce; cook and stir until heated through, about 1 minute. Remove from heat.
Place 1 to 2 tablespoons of tofu mixture in the center of each lettuce leaf. Sprinkle sesame seeds on top. Add 1 teaspoon dipping sauce; roll up lettuce to enclose tofu mixture. Repeat with remaining tofu mixture and lettuce leaves. Serve remaining dipping sauce alongside.