No, wired connections can be up to 100 gigabit, and wireless connections are only reaching 5 gigabit. That is internally to your own network of course. Speed out to the Internet is limited by what your ISP gives you. For instance, if you were paying for just 768K download, the speed difference between a wired and wireless connection for a device to the Internet would be the same.
I don't think you can limit wired connections on most routers.
Cheers,
David