Yes, we trim ours down each fall. They can also be trimmed again before the spring growth. Check local nursery for recommendations in your area - and for specific type of roses.
Hi Cynthia, yes they do well if pruned, it will increase the bushiness of the bush and enhance new growth and more blooms.
Generally late winter to early spring. These sites are full of information.
I trim mine back to about a foot to 18 inches from the ground.