The answer is YES.
It is possible, but not common, to have chickenpox more than once. Chickenpox produces a very strong immune response which, for most people, means that you only suffer once. However, sometimes the immune response is not as robust and the antibody levels generated in response to the initial infection are not sufficient to provide complete protection during subsequent exposure.
To learn more you should go to a medical professional.
Keyword: can you get chicken pox more than once