Unfortunately, simply saying "I want to 10 box" doesn't really tell us much. I think I could 10 box on my old 2600K system that I built six years ago with SLI GTX 580s if I was willing to drop the resolution down and play at the very lowest settings with a low framerate (perhaps I should test this at some point in time).

So, sure... any modern-day hardware will be able to 10 box as long as you're willing to compromise when it comes to settings (especially resolution and framerate), and as a rule of thumb, the more money you throw at a computer the better it's likely going to perform (with some diminishing returns and other small caveats). :)