Yes on both counts. The lunch box slides a certain distance and comes to rest, and yes, a force brings it to rest — the force of friction between the base of the box and the table.
Your hand pushed the box only at the start; after that nothing is touching it except the table. Yet its speed keeps falling. Since speed cannot change without a force, a force must be acting, and it must act opposite to the direction in which the box is sliding — a backward force is the only kind that can reduce speed.