The "club" would have to have at least $5 million in assets, according to current SEC guidance: http://www.sec.gov/answers/accred.htm .
Plus, is there any consequence to saying "yes I am an accredited investor" even if you aren't? I would assume you lose all the "protections" and ability to say "I was duped" but otherwise does anyone care?
However, there are some situations in state and federal law where being a "sophisticated investor" with knowledge of the markets and the industry allows you to invest.
P.S. I am not a lawyer and this is only my understanding of the situation.