No. The above suggestions WILL NOT WORK, this error is not browser specific and "the obvious answer" currently fails as well (sdlc-esd-stage.oracle.com will generate the same Access Denied error).
The java.com frontend is failing. Skip it. Go directly to oracle.com (the original source) to download your desired full installer. (Note the "Online" versions are currently failing as well, so don't bother). java.com is only dishing up 8u101, but the latest 8u102 is available, too:
http://www.oracle.com/technetwork/java/javase/downloads
From there, take care to go to the Download page you want. Most will just want the JRE (Java Runtime Environment) Download for your browser, games etc. to use. The JDK is the Java Development Kit, which, if you don't know what that is, you don't want it. (You definitely do not want the Server JRE). The correct JRE installers are located here:
http://www.oracle.com/technetwork/java/javase/downloads/jre8-downloads-2133155.html
The typical Windows user will want locate (under the Java SE Runtime Environment 8u102 category) and download the latest full installer for all 64-bit Windows PCs and Windows Vista/7/10:
Windows x64 Offline | 60.19 MB | jre-8u102-windows-x64.exe
Click the Accept License Agreement button. Download and Save it. Close your browser and other programs, then double-click to start the install process.
If it detects any older version installed, allow it to remove it.
This is not a Windows issue and the fault does not lie with your browser. [The Access Denied error is due to a server-side AuthProc failure to authorize downloads from java.com via oracle.com's server(s). It is ongoing and has been for at least 24 hours. Unbelievable...].