That is not possible in your circumstance.
That HP unit requires an analog phone line connection (regular landline) to work properly.
With some adjustments it can work (though usually not well) with a VOIP line, so you could try using a voip gateway device such as ooma or vonage for example, but those are problematic at best and not recommended. It is not possible for this unit to fax through just an internet connection without that additional service provider in place though.
What you can do however is to scan your documents and email them to someone.
Or what may work better for you is signing up for an "efax" type service where they provide you a phone number that people can fax to and those then get routed to your email, and you can scan and upload documents to fax out as well. Examples of that type of service would be http://efax.com and http://myfax.com
I'm sorry there isn't a simpler option here, that is just outside the scope of what the HP printer was designed to handle.
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