You can...but it is still visible and looks nasty. Use electrolysis, or snip it or tweeze it yourself.

its basically bleach with some chemicals in it.

Don't do it! If you bleach your hair with Clorox, your hair will completely fall out. It's not the correct bleach to use. I suggest to get a box bleach (you can get at any drugstore). Unless you want no hair/straw hair then don't do it.

REAL hair bleach or something to just barely lighten your hair?

I hope you're referring to hair bleach, not household bleach which will burn your hair and skin.

Hair bleach: mix the powder with 20 or 30 volume developer in ratio listed on packaging.