First, it will be great to exercise shirtless. Secondly, it can avoid the close contact between clothes and skin when sweating. In addition, you can also improve fitness efficiency and save water resources by washing clothes less.
There are many advantages to shirtless exercise. If you don't want to exercise, you can do so. If you must say injury, it may be that you are in poor shape, so you don't look good. If you have a good figure, there is no problem.
But even if you are in poor shape, you can do this, because you have to expose your shortcomings before you can exercise yourself, be more effective and motivated.
So there is no harm!