Andy, the grill will do all of the cooking, but throwing a wood pouch or one of those smoker boxes will add smoke flavor....without bothering your neighbors.
Soak some chips in beer or water for 30-60 minutes, drain and place in a foil pouch or smoke box. Place on top of a burner (off to the side), when you start to see smoke, then add the meat.
Have some chips in reserve when the smoke diminishes.
Before I bought my smoker, I picked up one of those boxes from Lowes for like $7 and a bag of chips for $4.