This isn't an absolute, as there could be appropriate space available on your home page for this type of information, but it shouldn't be the focus of the page. The problem is that most real estate agents and brokers are trying to do website marketing with the techniques and tools they've used for years in media like:
Obviously all those marketing methods have been effective for many, but it's a whole new world on the web. While people who see those marketing media expect to see short statements and hype about you, they have a totally different expectation when they visit a website. They come to a real estate site searching for information about the area, the process of buying and selling real estate, and most of all to search listings databases.
The way to keep visitors on your site longer and to keep them returning is to provide the information they want in an easy-to-locate manner with few clicks. When you do that, they value your site, which is what you need to happen first. It may not be what you want to happen, but it's what you need. Once a visitor values your site's information and ability to help them reach their goals, they'll want to know about the person or company responsible for it. That's when they know to go to the About Me page.
It's OK for some contact and information about you to be on multiple pages, but keep it in context with the intended content of the page. If the page is about title insurance in your area, then a short description of special experience you have that's related is fine. You can even link from that statement to your About Me page. Just keep the content of each page in line with the intended information resource it's supposed to be.
