Begin to heat up a pan with oil on medium-low heat.
Slice each banana in half, then cut each piece into quarters.
Take a plate and spread the brown sugar on the plate evenly. Lay out one egg roll wrapper on a clean surface.
Take the slices of banana and coat them each in the brown sugar then place one slice on an egg roll wrapper near bottom edge.
Roll sugared banana in wrapper once, then turn in edges and keep rolling. Seal the opposite edge with water.
Deep fry at 350°F until golden brown, about 3-5 minutes on each side. Drain on paper towels.