Is it possible to dye your hair with bleach?

It depends on what type of bleach you are talking about. If you are talking about HAIR bleach then the answer below is correct.

Bleach takes off the color of your hair making it easier to dye your hair. Yes you could leave it white after bleached but it will damage your hair eventually if you bleach it too much.

If you are talking about common household bleach, it is possible. BUT, you will get many unnecessary toxins that you would not get from normal hair bleach. Plus there is a risk that the next day your hair will break off in chunks if you used household bleach.