Noooooooooooo. And yes.
Your primary intention mustn't be to drive users to external content. Those answers will probably be downvoted and/or collapsed, and eventually your account will be warned, edit blocked, then banned. All at once if you spam.
But, if you write good answers on Quora, and mention the address of your website in your bio or at the foot of your answer, that'll be acceptable—at least to Quora, as I understand their policies.
Your answer's quality can and will sell itself through understatement and obvious competence, rather than naked, hard-sell crap (pardon me). Your website will benefit and will benefit from high-quality referrals; that is, people who are involved and genuinely interested.
Quora bear
Quora users, I'd guess, are brighter than the average bear and will spot competence just as easily as they will spot rubbish and faked answers.
Average bear
The gist of the guideline is that your answers must be helpful and the answer must be on Quora. Not on some blog you link to.
Right now, too, Quora is trialling commercial accounts. If you are, say, a cake company that employs at least three people you can open an account called Bakey-Bakey with the bio line —a Cake Company and answer cakey questions to your heart's content. The answers you give will appear as:
Bakey-Bakey, a Cake Company, wrote:
Baking should be treated as a theatrical experiment...
But the answer absolutely must be complete on Quora, and your affiliations must be declared and obvious, somehow, with the answer.
VickiH
CJ_The@rkitekt