Can you color your hair after bleaching it?

I have super duper short hair and thought now would be as a good as ever to see what blonde would look like. So I bought a boxed bleaching kit for even the darkest hair color which I have dark dark Brown hair.

I knew it wouldn't be the color blonde I would want since usually Brown hair will have more of a golden/ yellow color to it.

But can I buy hair color and put it on?

My hair isn't damaged from this bleaching process and it's honestly not a big deal if it is since I just shaved my head earlier this year and if I do have damage. I'll just shave it again .. Lol