No it doesn't, according to MSR. I think the reason is that alcohol eats the gaskets in the pump.

However, I have burned something called methylated spirits in mine and that stuff is basically denatured alcohol. It was purple and didn't burn very hot. I used it when I couldn't find white gas (Shellite) which is like Coleman fuel.

So, the answer is, can you do it, yes, should you do it, probably not.

Mine is also the old style-the round one with the hard fuel line and plastic pump.