yes of course you can put that stuff anywhere you want. The markup exists in layout.master. most of the skins we ship have the markup for those top links located physically near the bottom of the markup in layout.master file then we use css fixed positioning to put it at the top. But you can move it wherever you want within layout.master and change the related css.
you should use browser dev tools to inspect the markup and css rules to figure out what you need to adjust. For example to move it you could either change the positioning or add padding-top etc but you need to use browser tools to find which css selectors and style rules are being applied.
Hope that helps,