If you with Qlikview webpart are refering to the Qlikweb workbench webpart edition, the answer is yes.
(Or is the official name Qlikview webparts now?)
You CAN do it. BUT you have to do all the work your self. The Qlikweb workbench is a wrapper around the QVPX protocol and you can utilitise the QVPX your self directly.
But with the Qlikweb workbench you shielded from trouble and future changes in the QVPX. And the license for it is not that big...
Yes, convert the QV file into Ajax, thats the first step.
Then you can load it into a frame as suggested, it's a good idéa.
If you want it as smaller webpart thats are coneccted then there is a bit more.
Fven if you are going for the AJAX page in a frame, there are a bit html-stuff to do.
I think it's not that easy to generate good looking html from the codegenerator....But that is another story...
You can try this way also.
Create one blank html page in sharepoint. In the created blank html page you can call the qlikview report using the iframe see the below code.
<iframe frameborder="0" height="700" src="opendoc.htm?document=<document folder name>/Test123.qvw"
width="100%" style="TEXT-DECORATION: none;"></iframe>
Note: In the "Document folder name" you have to give the, what th e folder name your configured in the qlikview server.
Client machine must have the qlik view plugin