Yes, to a degree, but it's an uphill battle. Sarcopenia is an effect of ageing. Combined with a non-vigorous life, muscle and bone loss is natural decline.
Over 50 or 60, many trainers would make a goal of simply maintaining what you have, but more aggressive trainers like to find out how far "mature" individuals can take their strength efforts.
As with all aspects of fitness, "use it or lose it" applies. I would be in the category of those who advise people not to give up on strength-building in later adulthood. Advancement is much slower than when 30, and you will not build much visible muscle, but you can be stronger anyway.
The trick is heavy weights and low reps (ie 8 or less). We're talking men and women. High reps are better than doing nothing, but they are not strength-building.
One piece of advice: Over 50 or 60, two days/week of powerlifting is enough.
Some links:
8 Strength Training Moves Women Over 50 Should Do
Getting older doesn't mean giving up muscle strength. Not only can adults fight the battle of strength and muscle loss that comes with age, but the Golden Years can be a time to get stronger, say experts at the University of Michigan Health System
Simple test asked 50 to 80-year-olds to sit on the floor and stand up with as little support as possible
Building Stronger Bones
Can You Regain Muscle Mass After Age 60?
Weight training is the only type of exercise that can substantially slow, and even reverse, the declines in muscle mass, bone density, and strength that were once considered inevitable consequences of aging.
... because proper strength training doesn't apply stress directly to joints, it is ideal for people with arthritis; indeed, rheumatologists often recommend it. Although it cannot reverse arthritic changes, lifting weights helps alleviate symptoms by strengthening the muscles, tendons, and ligaments that surround joints.
