Yes but if you want to grow it out you have to deal with that at some point. Or maybe start using temporary dye instead, like washout dye, but even that might leave somewhat of a tint.
I bleached my hair as a teenager, and it looked so awful, and once the roots grew in for a few months it was even worse, I ended up dyeing it back to natural, but I didn't keep dyeing it so even that faded, my hair was a funny shade for months, finally I cut a lot of it off. It took..well probably a good two years for all my hair to grow back normal.
But it's worth it. Unless you want to keep dyeing your hair forever. Just cut it as short as you can, wear hats when you can, etc. Maybe my hair just grows slowly.