Can you get chickenpox twice?

Not really: Typically you can only get chicken pox once. After that you can get a second type of infection from the same virus called shingles. Shingles is a painful rash that follows a nerve track along the surface of your body. The varicella vaccine can help to prevent both of these diseases.

Yes: If for some reason you don't producce an adequate immune response, especially in children with their first infection under 6 months of age, it is not unusual to get a second infection if you aren't later vaccinated on schedule.

Yes: I have read of a small fraction of the population that has trouble developing immunity to this virus that may have repeated attacks. Infants who have it in their first year may only develop partial immunity&have it again. In many cases what was thought was chicken pox in the past may have been another of the blistering ailments like hand/foot/mouth virus.

No: The second time will be shingles which is reactivation of chickenpox.