Here is the error in Chrome, I expect this makes it clear?
Unsafe JavaScript attempt to access frame with URL http://s7.addthis.com/static/r07/sh090.html#iit=1341762779832&tmr=load%3D1341762779182%26core%3D1341762779520%26main%3D1341762779826%26ifr%3D1341762779833&cb=0&cdn=0&chr=UTF-8&kw=&ab=-&dh=www.ubhape2.com&dr=http%3A%2F%2Fstackoverflow.com%2Fquestions%2F11384440%2Ferror-permission-denied-jquery-print-preview&du=http%3A%2F%2Fwww.ubhape2.com%2Ftest-print.html&dt=TEST%20Page&md=0&cap=tc%3D0%26ab%3D0&inst=1&irt=0&jsl=33&lng=en-US&ogt=&pc=men&pub=ra-4dfb00d56c76d2a5&ssl=0&sid=4ff9acdb1a41cc60&srd=0&srf=0.02&srp=0.2&srl=1&srx=1&ver=300&xck=0&xtr=0&og=&rev=114791&ct=1&xld=1&xd=1 from frame with URL http://www.ubhape2.com/test-print.html. Domains, protocols and ports must match.
Your page is located on ww.ubhape2.com and you are accessing a frame on s7.addthis.com
To fix this problem, change this line
<script type="text/javascript" src="https://s7.addthis.com/js/300/addthis_widget.js#pubid=ra-4dfb00d56c76d2a5"></script>
To point to the copied script on your site.
You will also have to edit that script to only access your own site.
This is an example of XSS or cross site scripting.
My question then turns into can I edit the jQuery Print Preview Script
to prevent the conflict from happening?
No.
The point of the error is that the javascript is running in the context of another party, and you can't "inject" your code into it.
This is enforced by the browser.
If it was not enforced then every user on the internet would have had their machines compromised.
Read up on a google search of XSS to find out more
However,
If you host the javascript (and thus the iframe) on your server than the issue goes away. It is your code (and your iframe) to do with as you wish.