At least Google seems to think so. Take a look at any of the Chrome download pages here or the Beta download page here. Nowhere we see the version numbers. So unless you download a version and install it you won't know which version are you going to use!
Neat huh? Considering the fact that most of the Chrome users are early technology adopters and have switched from Firefox (which seems to give an overdose of versions!) this is moronic in my opinion.
There are other and better ways to keep your homepage clean but not specifying version numbers? I am not sure!