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.
PROFESSOR OF IMMIGRATION LAW for over 10 years -- email@example.com -- www.capriotti.com -- 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.
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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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