You can freeze tallow. Dehydration and the freeze-thaw cycle of home freezers are the enemies of long term storage. You can't stop the freeze-thaw cycle, but if you minimize exposure to dehydration (freezer burn) by storing full containers, or even vacuum packing, you can keep them that way for quite a while.
You added a picture, which is helpful. I might not freeze glass jars. You could risk expansion and breakage.