Yes, calcium chloride is always vegan.
It’s a form of calcium that’s often included used to firm up soybeans in tofu, or added to canned vegetables.
It can even be used to de-ice roads.
It’s made from one of two methods usually.
One way is from Limestone (a stone is vegan) via a chemical reaction.
Alternatively, it can be made by purifying brine, which is where most of the calcium chloride in the United States comes from.