Share openly, lead openly and be social to the core of your business model. That means that at least your key employees need to be social, open and well versed in the topic.
But to go back to the question, the answer is yes and no. Depends on your brand. If you are Nike or if you are a well known internet entrepreneur like Jason Calacanis then your social influence will be reflected in the number of influencers that you can reach as a company building upon the personal brands your partners and employees bring to the table.