Can one get a faculty position by posting CV on job websites?
For entry-level junior faculty, the likelihood is almost none unless you are already a superstar.

People get invited to apply based on their prominence/brilliance in the field or through personal connections. 

While it doesn't hurt to have your CV uploaded to a job website, the likelihood that a hiring department will use it to pick you up is not very high.

The reason is that for most job postings in this economic / intellectual climate is that any single job posting will get over a hundred applicants, if not more. 

Even small schools can get over 200+ applicants for junior faculty postings.  They have no need to solicit additional applicants.

[Note this is the case for the humanities / social sciences in the United States based on my experience. Your mileage may vary.]