No... all you need is a EOS/EF T2 (or T1) mount. It's an interchangeable mount system, so no adapter is needed.
P.S. I'd spend the extra for the T-mount with the electronic chip. This allows the camera's Focus Confirmation to work, so long as there is enough light. As you stop the lens down to smaller apertures, your viewfinder will dim down and the light reaching the Focus Confirmation sensor will be reduced in the same manner... At some point FC will not work. Depending upon whether shooting at high Noon on a bright sunny day or in low light, you might be able to use FC to f8, or even f11. But it will fail sooner in lower light situations.
Spiratone aren't the world's best lenses.... Don't expect a whole lot from it. Might be fun, though.