Answering the question, Dr. Main  K. Al-Qudah, a member of the Assembly of Muslim Jurists in America, states,

“The possible harm or side effect of this vaccine is to be determined by professional doctors. Once it is medically proven to be significantly harmful one, then it becomes prohibited, because in such a case it is not a vaccine any more. Rather, it is the sickness itself.

So, the issue should be referred to trustworthy specialists.”

May Allah guide all to what pleases Him!