Yes! Thankfully it is still fairly straight forward to install K1R and most other mods. There are two methods to do so:
Method 1. Install the mod to your PC KOTOR directory, then copy the override folder and modules folder to the KOTOR directory on your phone, Android/data/com.aspyr.swkotor/files.
Method 2. Download the mod to your device and unzip the archive and move the files from the tslpatchdata folder from the archive to the same directory as above, into their respective folders. All .mod files (and I think .rim as well) are placed in the modules folder and most everything else goes into the override folder.
Also, there will be times you will have to remove K1R from your directory in order to progress the game (i.e. Vulkar Base) because the dialog.tlk is currently unable to be modified without breaking the game. To help prevent this, make sure you are keeping many saves from earlier progress. Rather than deleting the K1R and other mod files, cut and paste the override and modules files to another directory until you've entered and/or completed a "broken" part of the game. Most importantly, make sure your KOTOR installation is on the internal memory of your phone and that your phone can handle the mod(s).
Required programs:
ZArchiver (or equivalent): To extract a variety of files, including .exe.
Hit me up if you have any questions about installing mods for KOTOR on Android and I'll gladly answer.