No, there is no official portable version of the K-lite Codec Pack available for download. K-Lite Codec Pack is a bundle with audio and video filters, as well as known media players, and it’s best to install it on your computer to have full playback compatibility for your files.
On the other hand, there are portable versions of K-lite Codec Pack that are released unofficially. I, however, would not recommend using them, since the packages are created by 3rd party users who might embed malware. Always use original software from the developer’s website.
Additionally, Android doesn't have codecs you can download and install. All the codecs are already embedded into the media players available through Google Play Store. I recommend installing MX Player through the Play Store application in your phone. That application has the capability of playing all the known video and audio file formats.