Whether a person can be arrested for DUI in their own driveway depends on the circumstances. A person can be arrested for a DUI if the officer witnesses the person driving and believes that there is a reason to suspect that the person is under the influence. They can stop a person in their driveway.
If an officer sees a person outside of their car and does not see them driving, the officer would not likely have a basis to stop a person if they are in their driveway The officer would not have a basis to even test a person or perform standardized field sobriety tests to determine if they are under the influence.