It is possible to get excellent results with laser resurfacing after age 60. There are a number of considerations here:
1. Aging changes in the skin are primarily due to volume loss of the skin itself, soft tissues, fat and bone. When these supporting structures of the skin are decreased in volume, the skin has less supporting structure and sags, creating wrinkles, folds and creases.
2. Laser resurfacing includes several different types of procedures: fractional resurfacing like you had, laser peels, skin tightening and photofacials. All of them are helpful in tightening the skin and inducing new collagen production. One thing that definitely interferes with new collagen production is exposure to ultraviolet light, either from the sun or tanning beds. Ultraviolet light not only breaks down existing collagen and elastin in the skin. It also significantly decreases the activity of enzymes and cells that are involved in new collagen production. So if you have a procedure that is supposed to increase collagen production but then expose your skin to UV light, it is likely that the result is going to be poor. Sun protection with a broad-spectrum sunscreen, sun avoidance and applying topicals with retinoids can help with these.
3. Tightening of the skin with lasers is usually not sufficient if there has been a large amount of volume loss. You will need fillers to add volume and stimulate new collagen production, like Radiesse and Sculptra and hyaluronic acid fillers that add volume and hydration into the skin.
And, yes, at your age and much older, there are a number of rejuvenating procedures that can make your skin look, feel and function better.