Please update your profile so we know which version you are working with. Answers sometimes depend on us knowing that.
Let's get our terms right before we start - By 'skin tool' you mean 'Loft'.
However the loft generator ONLY accepts splines as inputs so what you are doing in that file is incorrect because your extrusion object is a polygon mesh, not a spline. So first thing is to get the spline that made that star and that text, and use them directly in the Loft.
However, big problem: The text is multi segment spline, and the star is not, and that, I am afraid, is going to ruin this plan completely.
So, no, this cannot be done, or at least not using that method.
CBR