No, it will not be visa fraud if you get visa as past of your family but travel the first time alone.
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That should be OK ... assuming that you get the visa.
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You can travel alone and be admitted to the U.S. by CBP (U.S. Customs and Border Protection) assuming you satisfy all of the requirements to be admitted to the U.S. as a tourist. As a tourist, you have to prove that your stay in the U.S. will be temporary.
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