SCI is a surfactant (first ingredient) so yes this is a syndet bar.
Hydrogenated vegetable oil - a thickener and longer shelf life than original oil
Polyglyceryl - 4 Laurate gives slip
Water
Fragrance (Parfum) preservative
Glycerin a humectant
Fragrance - scent
Zinc Oxide - coloring? filler?
Citric Acid to balance ph I would guess in this
Coconut oil
Shea Butter
Galactoarabinan - sugar from a tree used for hydrating
Tetrasodium Glutamate Diacetate - chelator
Mandelic Acid - AHA usually I thought for anti aging?
I find it interesting that Zinc Oxide comes before Coconut oil in the list. I dont believe this list is accurate in the way we are meant to list from largest amount of an ingredient to smallest amount of an ingredient. I am pretty sure there would/should be less citric than Shea for example.
If you know how to make syndet shampoo bars this would be fairly easy to make however if you are only doing this to save $'s I will let you know that its a whole different ball game and the learning curve is steep and expensive! Ask most of us how we know!