This question is still difficult to answer the question and the World Health Organization (WHO) is warning that "there is currently no evidence that people who have recovered from COVID-19 and have antibodies are protected from a second infection."
While US officials have championed the Antibody Test as a way to determine who is immune to the virus, others, including Dr. Anthony Fauci, have urged caution as it’s not yet clear what immunity means for this virus.
It seems that it is thus possible, but again very early to have a sure answer.
More info about this can be found at the following sites:
WHO here and here | BBC | CNN | US NEWS | FOX News