This ultimately depends on how the website was set up. If they are using "user-sniffing" to determine which version of a webpage to serve you, then it might be possible to workaround (this method uses the user agent of the device that you are on to determine which version of a page to display).
They can delimit which devices get served which versions of a particular web page at server level. One way is to use the same URL and just serve up a different version of the same web page. The other way is to redirect you to a different URL (m.yourcompany.com vs. www.yourcompany.com).
Chances are the best way to get around this would be to install an app that allows you to spoof the user agent. It looks like the full version of Atomic Web should allow you to do this (although I haven't tested it personally).
You could always try out Opera, Mercury and vBrowse, if Atomic Web doesn't work for you. However, I think these browsers likely won't work.
For completeness, there is always a possibility they have used an approach called responsive design, and if this is the case there is nothing you can do to remedy the problem. Responsive design serves the same page, but uses CSS to organize it differently based on your screen size (And it can hide some content and display other content). Based off of your situation, however, this approach is highly unlikely to have been used.
