Yes, but mostly no.
You can open a scene in KK and export every obj individually, and recreate similar scenes in blender manually. But you can not just drop a card into a blender plugin and have it work. This would be quickest for 3d printing since you don't even have to deal with color / materials / lighting etc.
You can export KK character cards into FBX and open that in blender and even automate a lot of that process and rig them up automatically. You can export all the KK poses to a library in blender so you can "drag and drop" poses on assets. (Buggy and inconvenient to setup)
You have have similar lighting setups with Blender nodes.
You can not transfer timeline data.
KK cards don't have any assets. The scene data is just info of where everything is placed and the settings. So Blender would have no idea where to get the assets or how to translate the KK or unity settings. I've considered what it would take to do that and it would be some sort of KK mod that exports the entire scene into the new USDZ format or something.