If the job doesn’t involve driving or a background check you should be fine. I have only one job where they did a background check. And that was mostly to check my credit. I had the combo to the safe and could have walked out with hundreds of thousands of dollars if I wanted to.
But if the job doesn’t involve driving you should be OK. Lots of people have gotten DUI’s and get employed.
I agree with john, it will all depend upon the job you are applying for, the person specification the company are looking for and probably the individual employer.
It is possible, depends on your state’s particular laws, the nature of the offense in general, 1st time vs repeat offense. Here is a video that speaks directly to your question: https://www.youtube.com/watch?v=2fsJCFVlCKY