The answer is no. Most professional organisations require solicitors operating within their jurisdiction to register. In England, this includes lawyers, accountants, and chartered surveyors. To become a member of such bodies, you must pass exams set by them.
If you’d prefer, there are alternative schemes run directly by the government. These are called self-regulation, and they operate independently. For example, the General Dental Council regulates dentists while the Chartered Institute of Patent Attorneys regulates patent attorneys.