Can I obtain a license in another state after a drunk driving conviction?

That’s going to be up to the individual state in which you are applying for a driver’s license. If you want to know the law in a particular state, you should certainly consult with a lawyer who is licensed in that state. That being said, if you have a suspension, a driver’s license suspension here in Florida, most states are now part of the Interstate Driving Compact which basically means that whatever sanction you have here in terms of a suspension, most of the states are recognizing that but again, you need to consult with a lawyer who is licensed in that particular state to know if that particular state is going to recognize the Florida suspension.