Facebook options (specifically, put options) will be listed at the end of the month, but those are likely to be overpriced due to underlying volatility. You might want to write call options instead of buying put options, but that's also a risky strategy.
I don't know the original poster, but I would guess by the way he/she is asking that question that they probably do not understand markets well enough to take on the risk of writing a call option.
I just thought that there ought to be a bear fund/product which is positioned against companies like Facebook and Groupon - the question is how easy it's to be a part of it if you don't have 10M+ cash and have regular contact with GS or what have you.
Any regular stock broker could help you set up an account and advise you on how to “bet against” companies being actively traded as long as you are allowed to in your specific country.
GS and other investment banks are required for much more complext trades than betting against companies. Usually trades involving illiquid markets.