If you use a 3rd party browser such as Surfy, Opera Mini, UC browser, etc... you can access the site without redirection to Store.
What Thomas said,
There is no way to disable the store redirection in the browser.
is true when one is using Internet Explorer/Edge.
This also hold good for some other redirections. For example you can access Bing website from a 3rd party browser but you will be redirected to Search app on Internet Explorer.
The reason this redirection happens is because these websites are designed to redirect to Windows store if the device is a Windows Phone. Using a 3rd party browser can get you around this restriction by not revealing the name of your OS.
If problem persists try using Speed mode in UC browser or similar mode in other browsers. This option will redirect the traffic via their servers for compression and the websites will read the OS of the server, thus allowing you to view their webpage.