The answer depends upon why your visa was revoked and whether you were subjected to expedited removal. The CBP officer concluded you were inadmissible, but it is unclear on what grounds. Some grounds of inadmissibility can be easily cured while others are permanent bars to future admission. You should schedule a consultation with an experienced immigration attorney.
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Clearly they thought you were trying to immigrate into the US.
Talk to a lawyer about your intentions and how to prove it.
PROFESSOR OF IMMIGRATION LAW for over 10 years -- This blog posting is offered for informational purposes only. It does not constitute an attorney-client relationship. Also, keep in mind that this is an INTERNET BLOG. You should not rely on anything you read here to make decisions which impact on your life. Meet with an attorney, via Skype, or in person, to obtain competent personal and professional guidance.
It appears the admitting officer believed your intention was to stay in the US permanently and not temporarily as a student. At this point you need the help if an attorney before you apply for another visa.
Due to the nature of this forum, I often do not have all the information required to provide legal advice. Accordingly, my responses on Avvo are intended as general and not legal advice.