The answer to all these questions is no. One of the reasons why networking management and Internet Web design are so popular is that both require a set of clearly defined skills which can be acquired by a wide range of people. Two of the main qualities you need to have are the ability to understand and absorb technical information and secondly, the drive and motivation to succeed. Whenever an employer considers a candidate for a new position in IT, the company's overwhelming concern, naturally, is ensuring that the employee can 'hold their own' when it comes to designing a Web site or managing a network.
Previous experience is unquestionably the most reassuring proof to an employer.