No. The mydlink® service does not support any mobile browsers. You must use the mydlink Lite app.
D-Link offers the mydlink Lite app (free) for iOS, Android, and some Windows mobile devices. All apps can be downloaded from the respected devices app stores (App Store, Google Play, or Windows App Store).
You can also use other apps from D-Link such as D-ViewCam and JustConnect+, as well as some 3rd party apps.