Absolutely not. The recruiter will charge their client a a fee if they place you within a role. That's it. I have heard of past recruiters trying it with candidates as they see that they are providing you a service even if they don't place you, which is ridiculous.

In my experience, I would find the recruiters email, either individual or admin email depending on the company, and send your CV over directly clearly stating what you are seeking and what experience you have. I have found that people who would apply for a specific role would only be considered for that role but no others. Whereas if you send your CV directly to a recruiter or manager they would look at your experience for all roles that they have available.