Theoretically yes, They root rather easily. Best from a smaller cutting that is healthy as possible.
But I am wondering why you plant has died back and if the cuttings will be viable and suitable for propogation. Take the tip with two leaves rather than drier bare stems, and give it a try.
Try to learn as much as possible about plant care, soil and water management, so that your new plant does't suffer the same fate. GKH has good articles, including this one: