Can I still sponsor my husband if he has a possible DUI case?

Generally, a single DUI offense will not stand in the way of a foreign national's eligibility to be sponsored by a wife in an immigration adjustment of status application. You mentioned a "hold" in another state, but it is not clear to me what offense that may relate to, and of course there are many other details that need to be addressed in order to provide an immigration legal analysis for your husband. There really is no substitute for you and your husband to consult with an immigration attorney who, after learning all of the relevant information, could advise about eligibilities, options and strategies to attain your goals, and who then could offer legal representation in the often complex application process.