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What you're really looking for is to run Win32 software on a PS3. I'm sorry to say it won't work the way you want (it'll be so slow it's unusable).
As for x86 emulation in general, yes it is possible using applications such as Qemu or DOSBox.
Wine works by translating OS calls from Windows apps into equivalent Linux calls but maintains it's speed by executing code directly rather than through emulation. As a result, you cannot run x86 code on a PPC processor (and thus cannot run Wine).
You could have a look at the Darwine project (http://darwine.sourceforge.net/). It uses QEMU to run wine's x86 code on macos/powerpc. Of course this is not a solution that will work out of the box, and the performance will be probably poor.
Or try and find an old WinNT4.0 installer CD for PPC and try installing that. Dont know if anyone tried that but WinNT4.0 actually came for mips and ppc arch.