Of course, you can't. Ban means ban. In fact, you may not even be able to come after 10 years if they have a record of your immigration file, unless you are like Albert Einstein or someone so important to the US. You may apply after 10 years but most likely they will reject you if they find out you stayed here illegally

I don't know if you crossed the border because you would not have immigration document, so you might have better chance than most of us who came with visa, like me.