Yes you can and in this BLOG (http://scn.sap.com/community/manufacturing/mii/blog/2013/10/31/sap-mii-and-html-5-demystified) I show how to instantiate an SAP UI5 object (This is the library that Fiori is based on) directly on a MII hosted web page.
Remember, Fiori is a design concept and not really a technology; the technology is UI5 and this is fully supported by MII along with other 3rd party HTML 5 objects.
Sam