Age ~16.5. Height 161 cm. Male. Maybe late puberty as the mustache just started growing also voice cracked 4 months ago. Need help to increase height.

Height. You can't control your height. You should certainly eat healthy food and exercise regularly to be healthy, but your height is primarily genetically determined. If you have late puberty and even a second growth spurt in the males in your family, you may continue to grow for a while, but there's no way to know for sure. Accept who you are. Be the best you you can be!