Unless you have other conditions which might impact your ability to exercise (joint problems, heart problems, etc), people living with HIV are just as able to exercise as anyone else.
It’s always worth checking with your HIV specialist or GP if there are any forms of exercise that would not be good for you, or any reasons that you should not exercise.
In the past, muscle wasting (also know as lipodystrophy) was a problem for people living with HIV. The syndrome caused fat loss from some areas of the body, and in some cases redistributed fat to other areas of the body. This was massively improved in the late 1990s thanks to new HIV medication.
Apart from changing medications, the only intervention shown to reverse the progress of lipodystrophy has been exercise. Studies show that a combination of cardiovascular exercise and resistance (weight) training was the only thing which helped reduce the appearance of fat around the stomach area in men.