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I know there NSIS plugins for this but I wanted to know if there was an NSIS command for unpacking archives or an official built-in plugin that I didn't have to download for this.

Also is there a way to check for files for hashes in NSIS?

Maybe Universal Extractor is a possibility?

I'm trying to do it from within an NSIS script. Not Universal Extractor.
Restated: The NSIS does the unpacking via a script. And for the sake of kicks and giggles we'll say the archive is a zip file.