No, it seems you do not. Indeed you can read on the Camera Raw page .
Adobe Camera Raw, which lets you import and enhance raw images, has been a must-have tool for professional photographers right since it was first released in 2003. Applications that support Adobe Camera Raw include Photoshop, Photoshop Elements, After Effects, and Bridge. Additionally, Adobe Lightroom is built upon the same powerful raw image processing technology that powers Adobe Camera Raw.
From the Adobe DNG Converter page  you can read:
The Adobe DNG Converter is a free utility that enables you to easily convert camera-specific raw files from more than 350 cameras to the more universal DNG raw format
Support for the following cameras has been added. Visit the Camera Raw page for a complete list of supported cameras .
…that is the page reported above. So it seems to be a duplicate.
In general, on any system, it’s better to avoid to install unneeded software.
Since Adobe DNG Converter (at present version 9.1.1) is a free utility if you have space you can download and in case of need install.
From this page , it’s possible to download the version 9.3… but it doesn’t seems to change what above.