Combine pecans and artichokes in a food processor; pulse 5 times or until finely chopped.
Combine cream cheese and next 4 ingredients (through pepper) in a large bowl; stir until smooth. Stir in artichoke mixture and shredded chicken. Spread 1/3 cup artichoke mixture over each tortilla; top with 2 tomato slices and 1/2 cup lettuce. Roll up.